013444   Araskhan M;Rismanchiian M R (Mathemaics Dep, Yazd Branch, Islamic Azad Univ, Yazd, Iran, Email: m.araskhan@iauyazd.ac.ir) : Dimension of the c-nilpotent multiplier of lie algebras. Proc Math Sci 2016, 126(3), 353-7.

The purpose of this paper is to derive some inequalities for dimension of the cc-nilpotent multiplier of finite dimensional Lie algebras and their factor Lie algebras. We further obtain an inequality between dimensions of c-nilpotent multiplier of Lie algebra L and tensor product of a central ideal by its abelianized factor Lie algebra.

14 ref

013443   Alaeiyan M;Karami H (School of Mathematics, Iran Univ of Science and Technology, Narmak, Tehran-16864, Iran, Email: h.karami@just.ac.ir) : Perfect 2-colorings of the generalized Petersen graph. Proc Math Sci 2016, 126(3), 289-94.

In this paper, we enumerate the parameter matrices of all perfect 2-colorings of the generalized Petersen graphs GP(n,2), where n ≥ 5. We also present some basic results for GP(n,k), where n ≥ 5 and k ≥ 3.

7 ref

013442   Akyel T;Ornek B N (Mathematics Dep, Gebze Technical Univ, Gebze-Kocaeli 41400, Turkey, Email: nafi.ornek@amasya.edu.tr) : Sharpened forms of the generalized schwarz inequality on the boundary. Proc Math Sci 2016, 126(1), 69-78.

In this paper, a boundary version of the Schwarz inequality is investigated. We obtain more general results at the boundary. If we know the second coefficient in the expansion of the function f(z)=1 + c_pZ^p + c_p+1 Z^p+1 ..., then we obtain new inequalities of the Schwarz inequality at boundary by taking into account c_p+1 and zeros of the function f(z) - 1. The sharpness of these inequalities is also proved.

6 ref

013441   Ajay Kumar;Chanchal Kumar (NO, Indian Institute of Science Education and Research, Mohali, Knowledge City, Sector 81, SAS Nagar-140 306, Email: ajaykumar@iisermohali.ac.in) : Certain variants of multipermutohedron ideals. Proc Math Sci 2016, 126(4), 479-500.

Multipermutohedron ideals have rich combinatorial properties. An explicit combinatorial formula for the multigraded Betti numbers of a multipermutohedron ideal and their Alexander duals are known. Also, the dimension of the Artinian quotient of an Alexander dual of a multipermutohedron ideal is the number of generalized parking functions. In this paper, monomial ideals which are certain variants of multipermutohedron ideals are studied. Multigraded Betti numbers of these variant monomial ideals and their Alexander duals are obtained. Further, many interesting combinatorial properties of multipermutohedron ideals are extended to these variant monomial ideals.

12 ref

013440   Abubaker A B;Dutta S (Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, New Delhi-110 016, Email: sudipta@iitk.ac.in) : Structures of generalized 3-circular projections for symmetric norms. Proc Math Sci 2016, 126(2), 241-52.

Recently several authors investigated structures of generalized bi-circular projections in spaces where the descriptions of the group of surjective isometries are known. Following the same idea in this paper we give complete descriptions of generalized 3-circular projections for symmetric norms on Cⁿ and M_{m x n}(C).

14 ref

012500   Yadav S K;Singh L;Mishra S S;Mishra P P; Surendra Kumar (Mathematics and Statistics Dep, Dr. RML Adadh University, Faizabad-224 001, Email: drsinghlakhan@gmail.com) : Median based regression type estimator of the finite population mean. Int J agric statist Sci 2017, 13(1), 265-71.

In the present study, a regression type estimator of finite population mean of the study variable has been proposed using population median of the study variable. The expressions for the bias and mean squared error of the proposed estimator have been derived upto the first order of approximations. The minimum value of the mean squared error has also been obtained for the proposed estimator. A theoretical comparison has been made with the mean per unit estimator, usual ratio, usual regression estimator [Balh and Tuteja (1991), Kadilar (2016) and Subramani (2016] estimators. The different conditions - 42 - under which the proposed estimator performs better than other estimators have been given. Through the numerical example, the theoretical findings have been judged of the proposed and other estimators. It is seen that the proposed estimator performs better than other existing estimators.

8 tables, 20 ref

012499   Yadav S K;Pandey H (Mathematics and Statistics Dep (A Centre of Excellence), Dr. RML Avadh University, Faizabad-224 001, Email: drskystats@gmail.com) : New different type median based estimator of the finite population mean. Int J agric statist Sci 2017, 13(1), 289-95.

This paper considers the improved estimation of population mean of the study variable using median of the study variable. A difference type estimator of population mean using informaiton on median of study variable has been proposed. The expressions for the bias and mean squared error have been derived upto the first order of approximations. The optimum value of the characterizing scalar has been obtained. The minimum mean squared error for this optimum value of the characterizing scalar has also been obtained. A theoretical comparison has been made with the mean per unit estimator, usual ratio, usual regression estimator [Bahl and Tuteja (1991), Kadilar (2016) and Subramani (2016), estimators. Conditions under which proposed estimator performs better than other estimators have been given. A numerical study is also carried out to judge the performance of the proposed and other estimators. It has been shown that proposed estimator is better than other estimators.

6 tables, 20 ref

012498   Tiwari R;Sharma H L;Gautam S S (Agril. Econ. and F.M. Dep, J.N. Agricultural University, Jabalpur-482 004, Email: tiwari_roshni@rediffmail.com) : On ternary group divisible designs. Int J agric statist Sci 2017, 13(1), 105-8.

In this paper, we provide a new method for construction of ternary group divisible designs using a series of singular and semi-regular group divisible designs. The association scheme of the resulting ternary group divisible (TGD) designs is the same as that of corresponding group divisible design. The authors claim that ternary group divisible designs based on semi-regular group divisible are equivalent to TGD designs constructed by Satam and Deshpande (2007).

6 ref

012497   Subzar M;Raja T A;Maqbool S;Rishu J;Shabeer M (Agricultural Statistics Div, SKUAST, Kashmir-190 025, Email: tariqaraja@skuastkashmir.ac.in) : Enhancing the ratio type estimators for estimating population mean using auxiliary information in survey sampling. Int J agric statist Sci 2017, 13(1), 213-20.

The present paper takes into consideration that as estimation theory is important objective of the sampling theory and every researcher is in search to make such estimators by which, we get more precision of parameters of interest to be estimated using the auxiliary information in survey sampling. Keeping this in view, then it becomes dire to enhance the estimation theory by proposing some new modified ratio estimators. So in this paper we propose some - 41 - new modified ratio type estimators by using the auxiliary information of quartiles and their linear combinations with the correlation coefficient and coefficient of variation. The properties associated with the proposed estimators are assessed by mean square error and bias and then compared with the existing estimators. By this comparison we conclude that our estimators are efficient class of estimators and recommended for practical use in future.

3 tables, 13 ref

012496   Snigru S S;Khobragade N W (Mathematics Dep, MJP Educational Campus, RTM Nagpur Univ, Nagpur-440 033) : Thermal stress analysis of a thin rectangular plate with internal heat source. Int J latest Technol Engng Mgmt appl Sci 2017, 6(3), 31-3.

This paper deals with the determination of temperature distribution, displacement function and thermal stresses of a thin rectangular plate with internal heat source. A thin rectangular plate is considered having zero initial temperature and the edges of the plate are maintained at zero temperature whereas the thin rectangular plate is subjected to arbitrary heat supply on the edges y. The governing heat conduction equation has been solved by the method of integral transform technique. The results are obtained in a series form in terms of Bessel's functions.

11 ref

012495   Sinha A (Statistics Dep, Navyug Kanya Mahavidyalaya, Lucknow-226 004, Email: archnabihari@gmail.com) : Correlational analysis between the academic achievement and psychometric variables on under-graduate students in non-professional courses of higher education. Int J agric statist Sci 2017, 13(1), 169-80.

Present paper deals with an intervention in the existing system of admission procedure adopted at undergraduate level in non-professional courses of higher education in science, arts and commerce stream. The use of correlation analysis via SPSS software has been done among pairs of academic achievement (normalized score) for various subjects and Vocational Interest Records of under-graduate students. The primary data has been collected from various degree colleges and universities of central U.P on undergraduate students in different streams opting different combinations, using purposive sampling. Some proposals at the stage of admission process that may lead to improvement in the quality of higher education in non-professional courses have also been suggested.

4 tables, 5 ref

012494   Singru S S;Khobragade N W (Shri Dnyanesh Mahavidyala Nawargaon, Mathematics Dep, MJP Educational Campus, Nagpur-440 033) : Integral transform methods for inverse problem of heat conduction with known boundary of semi-infinite hollow cylinder and its stresses. Int J latest Technol Engng Mgmt appl Sci 2017, 6(4), 5-9.

Three dimensional inverse transient thermoelastic problem of a semi-infinite hollow cylinder is considered within the context of the theory of generalized thermoelasticity. The lower surface, upper surface and inner surface - 40 - of the semi-infinite hollow cylinder occupying the space D = {(x,y,z) ∈ R³: a ≤ (x² + y²)^1/2 ≤ b, 0 ≤ z <60> ∞} are known boundary conditions. Finite Marchi-Zgrablich transform and Fourier sine transform techniques are used to determine the unknown temperature gradient, temperature distribution, displacement and thermal stresses on outer curved surface of a cylinder. The distribution of the considered physical variables are obtained and represented graphically.

1 illus, 16 ref

012493   Singru S S;Khobragade N W (Shri Dnyanesh Mahavidyalaya, Nawargaon, Mathematics Dep, MJP Education, RTM Nagpur Univ, Nagpur-440 033) : Thermal stresses of a semi-infinite rectangular slab with internal heat generation. Int J latest Technol Engng Mgmt appl Sci 2017, 6(3), 26-8.

This paper is concerned with transient thermoelastic problem in which we need to determine the temperature distribution, displacement function and thermal stresses of a semi- infinite rectangular slab when the boundary conditions are known. Integral transform techniques are used to obtain the solution of the problem.

12 ref

012492   Singh S P;Rai A K;Wal P;Wal A;Praveen A;Gupta C (NO, Pranveer Singh Institute of Technology, Kanpur-209 305) : Gene therapy: recent developement in the treatment of various disease. Int J pharm chem biol Sci 2016, 6(2), 205-14.

Gene therapy (use of genes as medicines) is basically to correct defective genes responsible for genetic disorder by one of the following approaches. Gene therapy states and remains an experimental discipline and many researches remain to be performed before the treatment will realize its potential. He ideal design of a gene therapy strategy would first take into account the molecular basis of a disease process and then effectively tailor gene transfer techniques to mitigate toxicities and improve the effectiveness of existing therapies.. A gene therapy strategy modelled after the ADA protocol could play a role in delivering neuronal growth factors to the nervous system of patients with neurodegenerative disease. Cells from various tissues could be removed from a patient, be grown intissue culture where they could be stimulated to replicate, be genetically modified with retroviral vectors carrying a gene of therapeutic importance, and then be implanted into a brain with the intent to increase the local delivery of biologically active molecules. Genetic medicines are simple in concept, but challenging to make a therapeutic reality. We first outline thegeneral concepts that are applicable to genetic medicines. Gene therapy has the potential to eliminate and prevent hereditary diseases such as cystic fibrosis and is a possible cure for heart disease, AIDS and cancer. A gene therapy strategy known as viraldirected enzyme prodrug therapy has used retroviral vectors to eliminate some types of experimental brain tumorsin rodent model. Finally, from an ethics standpoint, it is important to consider whether medicine should surrender to the rule of technology or commit to a more responsible steering of the course of progress.

3 illus, 75 ref

012491   Singh R B;Lodhi S;Bajpai A K (Mathematics and Statistics Dep, J.N.K.V.V., Jabalpur-482 004, Email: r_bahadursingh@yahoo.com) : Probability models for forecasting of humidity in Jabalpur. Int J agric statist Sci 2017, 13(1), 135-9.

Purpose of present study is to find out suitable distribution for weekly and monthly humidity. From the study, we found that the Pearsonian criterion is one of the most important approaches for determining the nature of frequency curve. - 39 - On the basis of this criterion, we concluded that the given data follow the Pearsonian type-1 curve (Beta distribution) and it is found to be adequate for describing the weekly humidity pattern for Jabalpur.

1 illus, 9 tables, 3 ref

012490   Shashi Bhushan;Arun Kumar (Maths. and Statistics Dep, Dr. Shakuntala Misra National Rehabilitation University, Lucknow-226 017, Email: shashi.py@gmail.com) : On estimation of population mean under measurement error and non-response error. Int J agric statist Sci 2017, 13(1), 345-57.

In this paper, we consider problem of estimating the population mean of study variable using auxiliary information in presence of measurement error and non-response error simultaneously over the class of estimators proposed by Singh and Kumar (2008). The estimators studied in this paper use auxiliary information to improve efficiency and we assume that response error is present in both the study and auxiliary variables. The properties of the suggested estimators are studied and compared with those of existing estimators. It is shown that the estimators t_g and t_d are most efficient among all the estimators considered under non-response and measurement error simultaneously. The efficiency of the estimators seems to be drastically curtailed with increasing measurement error.

5 tables, 9 ref

012489   Sharma K;Garg D K (Statistics Dep, Punjabi University, patiala-147 002, Email: dkgarg_stat@yahoo.co.in) : Construction of three associate PBIB designs using some sets of initial blocks. Int J agric statist Sci 2017, 13(1), 55-60.

Presents three series of three-associate class PBIB designs by using some sets of initial blocks. These designs are highly efficient from the practical point of view. The different efficiency factors and the average efficiency factor of the designs have also been computed and tabulated at the end of the paper.

3 tables, 22 ref

012488   Shailendra Kumar;Pandey S K;Sehgal V K (Statistics Dep, Lucknow University, Lucknow-226 007, Email: shailendrabujhansi@gmail.com) : Bayesian gamma frailty proportional hazard model using spline for hazard function. Int J agric statist Sci 2017, 13(1), 47-54.

In this paper, a full Bayesian analysis is carried out in a Cox proportional hazard frailty model for clustered survival data. Using Gibbs sampling to generate random samples from the posterior distribution. We modelled hazard function through spline and find the posterior distributions of all regression coefficients and spline parameters are using Markov Chain Monte Carlo (MCMC) method. In this method, we used weighted mixtures - 38 - of parametric and non-parametric components in modelling the hazard function and Gamma distribution for frailty. The purpose of frailty models is to describe unobserved variation in the model. Frailty model is a random effect model for time to event data, where the ramdom effect has a multiplicative effect on the baseline hazard function. Frailty proporational hazard model are frequently used to failure time data. Additional model flexibility is achieved in two ways. First, we permit the inclusion of parametric components that can incorporate prior knowledge about the form of the baseline hazard function the resulting spline component can be interpreted as an (additive) smooth but local departure from the specified parametric model. Second, we allow the number and position of knots for the hazard B-spline bases to be chosen in a data-dependent manner and using a reversible jump MCMC procedure. These extensions respectively improve the performance of the proposed methods in situations when the hazard can be well-modelled by standard parametric forms or are distinctly non-smooth in nature. The methodology described in this paper has been implemented in the R software and Open BUGS. We justified the model by simulation study and real data example.

5 tables, 31 ref

012487   Savasani M V;Ghosh D K (Statistics Dep, Saurashtra University, Rajkot-360 005, Email: maddysavsani@gmail.com) : Bayesian inference for moderate distribution. Int J agric statist Sci 2017, 13(1), 303-17.

In this article, we have developed a method for finding posterior distribution using likelihood of single observation of Moderate Distribution and its ordinates. We have also studied Moderate density function. Further this study has been extended for more than one observation. Moreover, we have also discussed the posterior probabilities after analyzing the observations all together in single step. We have shown that posterior value of Moderate Distribution obtained by using tabular value of Z is same as posterior value of Moderate Distribution obtained by using density function. Moreover, we have also shown posterior value of Moderate Distribution by using density function, considering X as an average value, which is same as obtained by different values of X provided mean μ is same for all cases. Further, we studied the same for continuous prior. Finally we studied the Bayesian Credible Interval for Moderate Mean.

5 tables, 6 ref

012486   Salinder;Verma U (Mathematics, Statistics and Physics Dep, C.C.S. Haryana Agricultural University, Hisar-125 004, Email: vermas21@hotmail.com) : Multivariate statistical techniques for parameter estimation of weather-crop yield forecast models on agro-climatic zone basis in Haryana. Int J agric statist Sci 2017, 13(1), 97-104.

The aim of this paper is to see the impact of observed climate changes in controlling percent deviations from the real time data in context of pre-harvest crop yield prediction by following clustering and discriminant function analysis. Wheat yield models have been developed using linear time-trend yield and weather variables calculated over critical growth phases of the crop on agro-climatic zone basis in Haryana. The time-series wheat yield data of State Department of Agriculture (DOA) pertaining to 21 districts of Haryana categorized into four zones were classified into three groups viz., congenial, normal and adverse using k-means clustering approach. Fortnightly weather parameters corresponding to the pre-defined groups were used to obtain the weather scores for each year through discriminant function technique. The forecasting performance of zonal models developed on the basis of discriminant/weather scores and trend yield as regressors have been compared with the multiple linear regression based on wheat yield forecast models. A perusal of the results favours the use of prediction equations based on discriminant function analysis during the period of model development and the model testing period as well.

6 tables, 11 ref

012485   Rajarathinam A;Vetriselvi R (Statistics Dep, Manonmaniam Sundaranar University, Tirunelveli-627 012, Email: arrathinam@yahoo.com) : Modelling cereals crop production based on parametric and non-parametric models. Int J agric statist Sci 2017, 13(1), 17-28.

Investigation was carried out to study the trends in cereals crop production in Gujarat State, India during the period 1949-50 to 2008-09 based on different non-linear models and non-parametric smoothing techniques. The results indicated that none of the non-linear models were found suitable to fit the trends in area under the bajra, paddy and maize crops due to the fact that the residuals were not independently distributed. Non-parametric smoothing technique was found an appropriate technique to fit the trends in area under the bajra, paddy and maize crops. For the production and productivity of bajra crop the Rational function and Hoerl model, respectively was found suitable to fit the trends. For the production and productivity of paddy crop the Hoerl and Logistic models, respectively were found suitable to fit the trends. In case of wheat crop the non-linear models namely MMF was found suitable to fit the trends in area as well as productivity of wheat crop whereas in case of production the exponential model was found suitable to fit the trends. The Gaussian and Hoerl model were found suitable to fit the trends in production and productivity, respectively of maize crop. Decrease in trend for the area under the bajra crop and increase in trends for the paddy and maize crops have been observed.

12 illus, 5 tables, 34 ref

012484   Rachokarn T;Lawson N (Applied Statistics Dep, Faculty of Applied Science, King Mongkut's University of Technology, North Bangkok, Bangkok, Thialand, Email: nuanpan.n@sci.kmutnb.ac.th) : Efficient general class of ratio-cum-dual to product estimators for population mean in the presence of non-response. Int J agric statist Sci 2017, 13(1), 61-6.

Presents the proposed class of estimators to estimate the population mean in the presence of non-response for the study variably by utilizing a few known parameters of auxiliary variable x under two phase sampling. Motivation for the proposed class of estimators are based on Rachokarnand & Lawson (2016) and Hansen and Hurwitz (1946) estimator. The proposed class of estimators were found to be more efficient than the Hansen and Hurwitz (1946) estimator.

4 tables, 22 ref

012483   Pandit P V;Savitha Kumari (Statistics Dep, Bangalore University, Bangalore-560 056, Email: panditpv12@gmail.com) : On testing against positive quadrant dependence based on matched pairs. Int J agric statist Sci 2017, 13(1), 319-24.

New class of tests based on matched pairs for testing against positive quadrant dependence is proposed by considering the convex combination of the two statistics, which are functions of subsample order statistics. The class of tests proposed by Kochar and Gupta (1987), Shetty and Pandit (2003), Pandit and Savitha (2013) and Kendall's test are members of the proposed class of test statistics. The asymptotic normality of the proposed class of tests is established. It has been observed that some members of the class perform better than the esisting tests in the literature. Unbiasedness and consistency of the proposed class of tests have been established.

6 tables, 15 ref

012482   Pandit P V;Acharya D R (Statistics Dep, Bangalore University, Bengaluri-560 056, Email: panditpv12@gmail.com) : New class of distribution-free tests for special two-sample location problem. Int J agric statist Sci 2017, 13(1), 1-8.

Particular type of two-sample problem of comparing the performances of two packing machines in which one machine may underfill the packets and the other may overfill the packets on an average. Such problems can be studied under special two-sample location setup wherein one wishes to test for the point of symmetry versus an appropriate alternative. A class of test statistics based on sub-samples is proposed. From the Asymptotic Relative Efficiencies (AREs), it is concluded that the members of proposed classes of tests perform better than the test due to Shetty and Umarani (2005), for those distribution considered for evaluation.

7 tables, 17 ref

012481   Panda K B;Sahoo N (P.G. Department of Statistics, Utkal University, Bhubaneswar-751 004, Email: kunja.st@utkaluniversity.ac.in) : Estimation of finite population mean using variable transformation. Int J agric statist Sci 2017, 13(1), 141-4.

This paper processes a ratio-type exponential estimator for estimating the finite population mean using variable trnaformation. The expressions of the bias and mean square error of the proposed estimator, to the first order of approximation, are derived in general form. It has been shown that the proposed estimator is more efficient than the usual unbiased estimator, ratio estimator, ratio-type exponential estimator due to Bahl and Tuteja and ratio-type exponential estimator due to Tailor and Tailor. An empirical study is carried out in support of theoretical findings.

2 tables, 7 ref

012480   Mourya K K;Sisodia B V S;Singh A;Rai V N (Agricultural Statistics Dep, N.D. University of Agriculture & Technology, Kumarganj, Faizabad-224 229, Email: bvssisodia@gmail.com) : Clibration estimators in cluster sampling when clusters are of equal size. Int J agric statist Sci 2017, 13(1), 191-6.

Calibration estimation making use of auxiliary information related with the study variates was proposed by Deville and Sarndal (1992) in order to improve the precision of the estimates of the population parameter of the study variable. They in fact calibrated the sampling design weights under certain clibration equation involving auxiliary information. Since then a lot of works have been done in this direction to develop a calibration estimators [Dupont (1995), Hidiroglou and Sarndal (1998), Singh et al. (1998, 1999), Wu and Sitter (2001) in sample survey. Recently, the calibration estimators have been developed in stratified random sampling and double sampling by Tracy et al. (2003), Kim et al. (2007), etc. In the present paper, an attempt has been made to develop calibration estimators in cluster sampling when clusters are equal size. Different calibrated estimators have been developed and their properties related to their efficiencies have been examined. A limited simulated study with real data has been also conducted to find out the relative merit of the calibration estimators.

1 table, 10 ref

012479   Lokhande K;Khot P G;Khobragade N W (Mathematics Dep, MJP Educational Campus, RTM Nagpur Univ, Nagpur-440 033) : Optimum solution of quadratic programming problem: by Wolfe's modified simplex method. Int J latest Technol Engng Mgmt appl Sci 2017, 6(3), 11-19.

In this paper, an alternative approach to the Wolfe's method for Quadratic Programming is suggested. Here we proposed a new approach based on the iterative procedure for the solution of a Quadratic Programming Problem by Wolfe's modified simplex method. The method sometimes involves less or at the most an equal number of iteration as compared to computational procedure for solving NLPP. We observed that the rule of selecting pivot vector at initial stage and thereby for some NLPP it takes more number of iteration to achieve optimality. Here at the initial step we choose the pivot vector on the basis of new rules described below. This powerful technique is better understood by resolving a cycling problem.

6 ref

012478   Jhajj H S;Walia G S;Harpreet Kaur;Jhajj P (Statistics Dep, Punjabi University, Patiala-147 002, Email: drgswalia@pau.edu) : Generalized estimator of population correlation coefficient. Int J agric statist Sci 2017, 13(1), 359-63.

For the case of bivariate distribution, a generalized estimator of population correlation coefficient between study variable and auxiliary variable has been proposed using known information of population parameters of auxiliary variable. The expressions for bias, mean square error and its minimum value have been obtained up to first order of approximation. It has been shown that optimum estimator or proposed estimator is more efficient than the sample correlation coefficient as well as estimator defined by Gupta et al. (1978). The conditions under which proposed estimator can be made efficient than the existing ones for given situations have also been obtained. The results have also been derived for the case of bivariate normal population. The results have been illustrated numerically and graphically by taking data from the population considered in literature. The simulation study has also been done to support the results.

2 illus, 5 tables, 4 ref

012477   Javaid S;Maqbool S (Statistics & O.R. Dep, A.M.U., Aligarh-202 002, Email: shakeel.jd@operamail.com) : Improved ratio estimators for estimating the population mean in case of missing data. Int J agric statist Sci 2017, 13(1), 43-6.

Presents a class of two new modified ratio estimators of the population mean of the auxiliary variable when there are missing data from the sample units. The suggested estimators are investigated under the simple random sampling method. The bias and mean square error of the proposed estimators are obtained and are compared with the existing ratio estimators in case of missing data.

7 ref

012476   Jalil S A;Sadia S;Javaid S;Ali Q M (Statistics and Operations Research Dep, Aligarh Muslim University, Aligarh-202 002, Email: shakeel.jd@operamail.com) : Solution approach for solving fully fuzzy multi-objective solid transportation problem. Int J agric statist Sci 2017, 13(1), 75-84.

Presents a solution approach for obtaining compromise optimal solution of fully fuzzy multi-objectie solid transportation problems. All the parameters and variables involved in decision model presented in this paper are assumed to be fuzzy numbers. The fuzzy objective functions and equality constraints are defuzzified by applying the ranking function and the property of equality between fuzzy numbers, - 34 - respectively. The crisp multi-objective problem is then converted into single objective problem by using weighted sum approach. This approach can solved the fully fuzzy multi-objective solid transportation problems very easily, as the presented approach involves comparatively simple computations. In order to illustrate the proposed approach, a numerical example is solved at the end.

5 tables, 22 ref

012475   Hare Krishna;Goel N (Statistics Dep, Ch. Charan Singh University, Meerut-250 004, Email: hkrishnastats@yahoo.com) : Randomly censored geometric distribution under Koziol-Green model. Int J agric statist Sci 2017, 13(1), 85-95.

Studies randomly censored geometric distribution under Koziol-Green model with probability parameter θ and shape parameter β. Maximum likelihood estimates with their variances and confidence intervals are obtained for the unknown parameters. Expected time on test with its estimate is derived. Bayes estimates are developed under generalized entropy loss function for the unknown parameters, taking informative as well as non-informative priors. Highest posterior density credible intervals are also obtained for the parameters. A Monte Carlo simulation study is conducted for comparing the performance of the estimates of the parameters. For illustration purpose, a real data example is also discussed.

1 illus, 9 tables, 25 ref

012474   Hanumareddy K;Sagar G V R K (Mathematics Dep, Hindu College, Acharya Nagarjuna Univ, Guntur) : Note on M₂ partitions of n. Int J latest Technol Engng Mgmt appl Sci 2017, 6(2), 63-6.

S. Ahlgren, Bringmann and Lovejoy [1] defined M₂ spt(n) to be the number of smallest parts in the partitions of without repeated odd parts and with smallest part even and Bringmann, Lovejoy and Osburn [4]derivedthe generating function for M₂ spt(n). Hanumareddy and Manjusri [7] derived generating function for the number of smallest parts of Partitions of n by using r- Partitions of n. Hanumareddy and Gudimella V R K Sagar[9], [10] defined M₂ partitions and Ga partitions of positive integer. In this chapter we derived generating function for M₂ spt(n) by using r- M₂ partitions of n. We also derive generating function for sum M₂ spt(n).

9 ref

012473   Goswami K;Patowary A N;Hazarika J (Statistics Dep, Dibrugarh University, Dibrugarh-786 004, Email: a_patowary@yahoo.com) : Studying nature of the trends in some hydroclimatic variables using NP-methods. Int J agric statist Sci 2017, 13(1), 205-11.

Due to non-stationary behavior of the hydroclimatic data and since there appears much more missing values, researchers generally adopt non-parametric (NP) methods, viz., Mann-Kendall and Sen's slope estimator in the study of trend. Keeping these points in mind, this - 33 - study attempts to investigate the nature of the trends in some hydroclimatic variables on the Dibrugarg region of Assam, using stated non-parametric methods. The study utilizes monthly total rainfall and monthly average of minimum and maximum temperature over last 50 years (1966-2015). The analysis reveals decreasing trend in annual rainfall, whereas an increasing trend has been observed in maximum and minimum temperature for the last fifty years as a whole. On the other hand, from the decadal analysis, particularly for the decade 2006-2015, for the months of May and August, it is observed that the rainfall increases significantly, perhaps due to thie, the minimum temperature decreases significantly for those two months. However, the trend in rainfall of pre-monsoon season increases as compared to the other three seasons throughout the years.

3 illus, 3 tables, 19 ref

012472   Dharmendra Kumar (Statistics Dep, P.G.D.A.V. College, University of Delhi, Delhi-110 065, Email: dr.dharmendra.stats@gmail.com) : On estimation of inverse Rayleigh progressive type-II censored data with binomial removals. Int J agric statist Sci 2017, 13(1), 197-203.

This paper considers the estimation of the scale parameter of Inverse Rayleigh distribution under progressive type-II censoring with binomial removals, where the number of units removed at each failure time follows binomial distribution. The maximum likelihood and Bayes estimates of the scale parameter have been obtained. A comparison between the performance of these estimates has also been done via simulation study.

2 tables, 10 ref

012471   Devendra Kumar;Farooqi M S (Statistics Dep, Central University of Haryana, Mahendergarh-123 029, Email: devendrastats@gmail.com) : Type I generalized half logistic distribution based on generalized order statistics. Int J agric statist Sci 2017, 13(1), 337-44.

In this paper, authors considered the type I generalized half logistic distribution and derived some explicit expressions and recurrence relations for the marginal and joint moment generating function of generalized order statistics from the type I generalized half logistic distribution. The results for order statistics and record values are deduced from the result. Finally, we obtained the characterizing result of this distribution on using the conditional expectation of generalized order statistics.

17 ref

012470   Cyprien M;Vinod Kumar (Mathematics Dep, School of Science, College of Science and Technology, University or Rwanda, Kigali, Rwanda, Email: mucypro2@yahoo.fr) : Effect of panicle number on grain yield for rice cultivars data. Int J agric statist Sci 2017, 13(1), 325-31.

Rice cultivars data for three trials viz. AVT-2(BT) trial AVT-2(IM) and AVT-2(ME) have been analysed by using analysis of covariance technique in split-plot design by considering panicle number as a concomitant variable and grain yield as dependent or response variable. It is concluded that panicle number has no significant effect on grain yield under any of the three trials and interaction effect of nitrogen and varieties is insignificant in all the three cases. The varieties are found to have highly significant effects on grain yield except AVT-2(ME) trial where they have insignificant effect.

3 illus, 4 tables, 13 ref

012469   Chandel A;Mahajan P K;Gupta R K (Basic Sciences (Mathematics and Statistics) Dep, Dr. Y.S. Parmar University of Horticulture and Forestry, Nauni, Solan-173 230, Email: pawan_uhf@yahoo.com) : Optimum stratification for scrambled response in sampling with varying probabilities. Int J agric statist Sci 2017, 13(1), 279-83.

Mahajan and Singh (2005) have considered the problem of optimum stratification with the units from different strata are selected with probability proportional to (known) size measure (PPS) with replacement (WR) and the data are collected by scrambled randomized response technique on the sensitive character and the sample sizes for the different strata are - 32 - determined by using Neyman allocation method. The present paper considers the same problem for the proportional allocation method.

2 tables, 12 ref

012468   Bhushan S;Naqvi N (Mathematics & Statistics Dep, Dr Shakuntala Misra National Rehabilitation University, Lucknow-226 017, Email: shashi.py@gmail.com) : On cost efficient classes of estimators in presence of non-response for population mean. Int J agric statist Sci 2017, 13(1), 9-16.

Some cost efficient classes of estimators are proposed as an alternative to the double sampling estimators proposed by Okafor and Lee (2000), Tabasum and Khan (2004) and recently by Singh and Kumar (2010) in the presence of non-response for estimating population mean when population mean of auxiliary variable is not known. The properties of these estimators have been studied both under optimum conditions and otherwise. In order to ascertain the soundness of the proposed estimators a comparative study is carried out both theoretically as well as empirically.

3 tables, 18 ref

012467   Bhat S V;Gokhale K D (Statistics Dep, Karnataka University, , Email: bhat_sharada@yahoo.com) : Bayesian and S<. Int J agric statist Sci 2017, 13(1), 33-42.

Process variability has an important role in the process of manufacturing. Shewhart's deviation (SD) chart (S chart) is first of its kind for process variability. Constructs SD(S) and variance (S²) posterior control charts for process variation using Bayesian approach. Assumes that the prior distribution of the process variance is a mixture of several (k known) inverted gamma disributions. The control limits of S chart, probability limits of both S and S² charts are derived. The charts are evaluated in terms of their width, power and Average Run Length (ARL).

5 tables, 9 ref

010457   Yilmaz S;Savci U Z (Dokuz Eylul Univ, Buca Educational Faculty, 35150, Buca-Izamir, Turkey, Email: suha.yilmaz@deu.edu.tr) : Smarandache curves and applications according to type-2 bishop frame in euclidean 3-space. Int J mathl Combinatorics 2016, 2(June), 1-5.

In this paper, we investigate Smarandachc curves according to typc-2 Bishop frame in Euclidean 3- space and we give some differential geometric properties of Smaran-dache curves. Also, some characterizations of Smarandachc breadth curves in Euclidean 3-space are presented. Besides, we illustrate examples of our results.

5 illus, 13 ref

010456   Yilmaz S (Dokuz Eyliil Univ, Buca Educational Faculty, 35150, Buca-Izmir, Turkey) : Isotropic smarandache curves in complex space C<. Int J mathl Combinatorics 2016, 4(Dec), 1-7.

A regular curve in complex space, whose position vector is composed by Cartan frame vectors on another regular curve, is called a isotropic Smarandache curve. In this paper, I examine isotropic Smarandache curve according to Cartan frame in Complex 3-space and give sonic differential geometric properties of Smarandache curves. We define type-1 e₁e₃-isotropic Smarandache curves, type-2 e₁e₃-isotropic Srnarandache curves and e₁e₂e₃-isotropic Smarandache curves in Complex space C³.

15 ref

010455   Yildiz Q G;Karakus S Q (Mathematics Dep, Faculty of Science, Bilecik, Seyh Edebali Univ, Bilecik, Turkey, Email: ogokmen.yildiz@bilecik.edu.tr) : On the quaternionic normal curves in the semi-euclidean space E<. Int J mathl Combinatorics 2016, 3(Sep), 68-76.

In this paper, we define the semi-real quatemionic normal curves in four dimensional semi-Euclidean space E^4₂. We obtain some characterizations of semi-real quatemionic normal curves in terms of their curvature functions. Moreover, we give necessary and sufficient condition for a semi-real quatemionic curve to be a semi-real quatemionic normal curves in E^4₂.

12 ref

010454   Waphare B B (MAEER's MIT Arts, Commerce & Science College (MIT ACSC) Alandi (D), Tal: Khed, Dist: Pune, Email: bbwaphare@mitpune.com) : Pseudo-differential operators associated with the bessel type operators-II. Int Rev pure appl Math 2017, 13(1), 1-9.

In this paper we define a symbol a(x, y) by using inverse Hankel type transform. The pseudo differential type operator G(x, D) associated with the Bessel type operator A in terms of this symbol is also defined and it is shown that the pseudo differential type operator is bounded in a certain Sobolev type space associated with the Hankel type transform. Finally some properties of symbols are discussed.

13 ref

010453   Veerapandi T;Jeyaraman M;Paul Raj Josphs J (NO, P.M.T. College, Melaneelithanallur, Email: vrpnd@yahoo.co.in) : Common fixed point theorem in generalized m-fuzzy metric space. Int Rev pure appl Math 2017, 13(1), 43-50.

The aim of this paper is to obtain a common fixed point theorem for three self mappings of generalized M-fuzzy metric space. Now we prove common - 28 - fixed point theorem for three self mapping of M-fuzzy metric space.

11 ref

010452   Vaidya S K;Pandit R M (Mathematics Dep, Saurashtra Univ, RAJKOT-360 005, Email: samirkvaidya@yahoo.co.in) : Global equitable domination number of some wheel related graphs. Int J mathl Combinatorics 2016, 3(Sep), 77-85.

A dominating set is called a global dominating set if it is a dominating set of a graph G and its complement G. A subset D of V(G) is called an equitable dominating set if for every v ∈ V(G) - D, there exists a vertex u ∈ D such that uv ∈ E(G) and |d^{G(u) - d_{G(v)| ≤ 1. An equitable dominating set D of a graph G is a global equitable dominating set if it is also an equitable dominating set of the complement of G. The global equitable domination number γ eg(G) of G is the minimum cardinality of a global equitable dominating set of G. In this paper, we investigate the global equitable domination number of some wheel related graphs.}}

15 ref

010451   Unliitiirk Y;Yilmaz S (Mathematics Dep, Kirklareli Univ, 39100 Kirklareli, Turkey, Email: yasinunluturk@klu.edu.tr ) : Smarandache cureves of a spacelike curve according to the bishop frame of type-2. Int J mathl Combinatorics 2016, 4(Dec), 29-43.

In this study, we introduce new Sinarandache curves of a spacelike curve according to the Bishop frame of type-2 in E³₁. Also. Smarandache breadth curves are defined according to this frame in Minkowski 3-space. A third order vectorial diflerential equation of position vector of Smarandache breadth curves has been obtained in Minkowski 3-space.

5 illus, 24 ref

010450   Tripathi M N;Pandey O P (Shree Ram Murti College of Engineering and Technology, Unnao Maharaja Agrasen Mahavidyalaya, Bareilly, Email: manishnathtripathi@gmail.com) : Lagrange space and generalized lagrange space arising from metric e<. Int J mathl Combinatorics 2016, 3(Sep), 136-40.

Some properties of Lagrange space with metric tensor g_ij(x, y) + 1/c² y_i y_j where g_ij(x, y) is metric tensor of Finsler space (Mⁿ, F), and associated generalized Lagrange space has been studied by U. P. Singh in his paper [6]. In the present paper some properties of Lagrange space with metric tensor e^σ(x) g_ij(x, y) + 1/c² y_iy_j, where g_ij(x, y) is metric tensor of Finsler space (Mⁿ,F), e^σ(x) is conformal factor and associated generalized Lagrange space has been studied.

6 ref

010449   Tripathi B K;Pandey K B (Mathematics Dep, L.E. College, Morbi-363 642, Email: brijeshkumartripathi4@gmail.com) : Characterization of locally dually flat special finsler (α, β)- metrics. Int J mathl Combinatorics 2016, 4(Dec), 44-52.

The concept of locally dually flat Finsler metrics originate from information geometry. As we know, (α, β) - metrics defined by a Riemannian metric α and a 1-form β, represent an important class of Finsler metrics. In the year 2014, S. K. Narasimhamurthy, A.R. Kavyashree and Y. K. Mallikarjun obtained characterization of locally first approximate Matsumoto metric [1]. In continuation of the paper we study and characterize locally dually flat for a special Finsler (α, β) - 27 - metric F = α + β + β²/α + β³/α² with isotropic S-curvature, which is not Riemannian.

11 ref

010448   Tejaswini K M;Venkanagouda M G (Sri Gauthama Research Centre, (Addliated to Kuvempu Univ, Shimoga), Ma, Sri Siddhartha Institute of Technology, Tumkur-572 105, Email: tejaswini.ssit@gmail.com) : Nonsplit geodetic number of a graph. Int J mathl Combinatorics 2016, 2(June), 109-20.

Let G be a graph. If u,v 6 V(G), a u - v geodesic of G is the shortest path between u and v. The closed interval I[u, v] consists of all vertices lying in some u - v geodesic of G. For S ⊆ V(G) the set I[S] is the union of all sets I[u, v] for u, v ∈ S. A set S is a geodetic set of G if I(S) = V(G). The cardinality of a minimum geodetic set of G is the geodetic number of G, denoted by g(G). In this paper, we study the rionsplit geodetic number of a graph g_na(G). The set S ⊆ V (G) is a nonsplit geodetic set in G if S is a geodetic set and <193>V(G) - S<209> is connected, nonsplit geodetic number g_ns(G) of G is the minimum cardinality of a nonsplit geodetic set of G. We investigate the relationship between nonsplit geodetic number arid geodetic number. We also obtain the nonsplit geodetic number in the cartesian product of graphs.

1 illus, 10 ref

010447   Sooryanarayana B;Kunikullaya S;Swamy N N (Mathematical & Computational Studies Dep, Dr.Ambedkar Institute of Technology, Bengaluru, Karnataka) : k-metric dimension of a graph. Int J mathl Combinatorics 2016, 4(Dec), 118-27.

In a connected graph G(V,E), a set S ⊆ V is said to be a k-resolving set of G, if for every pair of distinct vertices u,v ∈ V-S, there exists a vertex w ∈ S such that |d(u, w) - d(v,w)| ≥ k for some k ∈ Z⁺. Among all k-resolving sets of G, a set having minimum cardinality is called a k-metric basis of C and its cardinality is called the k-metric dimension ot G, denoted by β_k(G). In this paper, we characterize graphs with prescribed k-metric dimension. We also extend some of the earlier known results on metric dimension.

3 illus, 25 ref