019507   Setiya P;Vinod Kumar;Pande M K (Statistics Dep, Kumaun Univ, Nainital-263 001, Email: parul36901@gmail.com) : Bayesian estimation of shape parameter in Pareto type II distribution. Int J agric statist Sci 2015, 11(1), 111-15.

Bayes estimators of the shape parameter of a Pareto type-II model are obtained for different priors using Squared Error Loss function and Asymmetric Precautionary Loss Functions through Lindley's approach. The calculations have been illustrated with the help of numerical example.

5 tables, 17 ref

019506   Selvaraj C;Babu O S;Murugusundaramoorthy G (Mathematics Dep, Presidency College (Autonomous), Chennai-600 005, Email: pamc9439@yahoo.co.in) : Majorization for certain subclasses of p-valently analytic functions defined by generalized linear operator. Far East J mathl Sci 2014, 90(1), 103-16.

In this paper, we investigate a majorization problem for a subclass of p-valently analytic functions involving generalized fractional differintegral operator and Hurwitz-Lerch zeta function. Some useful consequences of the main result are mentioned and relevance with some of the earlier results is also pointed out.

24 ref

019505   Sadhu S;Seal B (Statistics Dep, Burdwan Univ, Burdwan-713 104, Email: babulal_seal@yahoo.com) : Estimation procedure in curved exponential family from exponential family. Int J agric statist Sci 2015, 11(1), 15-20.

Dimension of parameters in curved exponential family (CEF) is less than the dimension of sufficient statistics. As maximum likelihood estimator (MLE) becomes difficult to obtain in many cases, a method of estimation of parameters in a CEF is described from the estimates of parameters of exponential family where there are good methods of estimation and testing by using sufficient statistics. From that estimate i.e. from the corresponding exponential family this method searches the best point on the curve, by getting the point of intersection of the normal to the curve at that point such that the normal passes through the estimates of parameters in exponential family. As an application N(θ,θ²) and a special binomial case are described and investigated.

1 illus, 2 tables, 11 ref

019504   Ramesh T;Anil Kumar;Pandey V;Shekh A M (Agricultural Meteorology Dep, BACA, AAU, Anand-388 001, Email: anilmeteo@gmail.com) : Statistically quantification accuracy of automatic weather station and surface observatory data of Gujarat state, India. Int J agric Sci Technol 2014, 3(1), 34-47.

Study were evaluated technical analysis of AWS and SO data of 10 station of Gujarat, we analyzed as MAE, RMSE, PE, D and PD of Tmin, Tmax RH₁ RH₂ and BSS, Tmin range 15.2 °C to 23.2 °C for SO and 18.2 to 22.3 °C of AWS, MAE range 1.8 to 17.1 mean value 1.3 and highest 17.1 at S. K. Nagar, RMSE range 1.1 to 23.4 mean 1.9, the highest value were observed 23.4 at SKN and lowest 1.1 at Navsari and PE were range 5.2 to 14.9 mean value of PE 9.3 with highest value were 14.9 and lowest 5.2 at Nawagam, Tmin deviation range was -6.9 °C with PD 6%. The Tmax range was 29.3 °C to 34.8 °C with highest value 34.8 °C of Tmax was observed in Vallabhaipur and lowest 29.3 °C at SKN form SO or Tmax from AWS were found 28.8 to 36 °C and highest 36 °C at Dhandhuka and lowest 28.8 °C, MAE range 1.1 to 5.5, mean 2.1 and highest value. 5.5 and lowest 1.1 Sanand, RMSE 1.7 to 6.4, mean 2.7 highest 6.4 and lowest 1.7 at Navsari station similarly the PE range 5.2 to 22.3, mean PE 8.2, highest 22.3, lowest 5.2 at south Gujarat Navsari follow with lowest 5.2, Tmax deviation were -2.3 °C to 0.5 °C Tmean -1.0 °C, Tmean 0.5 °C at S.K. Nagar and Tmin -2.3 °C at Mangrol with PD -3.3% lowest and highest 57.3% at Sanand from SO, RH₁ from AWS were 75.3 to 84.7%, mean 78.9%, highest 84.7% Devgardhbaria and lowest 75.3% at Dhandhuka, MAE range 7.8 to 17.1 and highest 17.1 at S. K. Nagar and lowest 7.8 at Navsari and PE range 12.1 to 36.8 mean PE 22.3, highest PE 36.8 at Devgardhbaria, lowest 12.1 at Navsari, RH₁ deviation was -20.4 to 0.9%, mean -11.6% highest 0.9%, the significant variation of relative humidity between the SO and AWS, MAE range 3.9 to 15.9, mean 9.0 and highest 15.9 at Mangrol and lowest 3.9, were PE range 15.2 to 34.4, mean 25.1 highest PE 34.4 at Devgardhbaria, lowest 15.2 and RH₂ deviation range -35 to -2%, mean -11.6% at Mangrol, lowest -2% at Sanand with PD -11.6%, PD mean were 16.2% highest 24.2% at Dhandhuka and minimum 13.7% at Nawagam received lowest and average annual BSS, lowest value from AWS as SO, PE highest at Anand and lowest at Nawagam, the significant r² were observed with respective weather parameter between AWS to SO.

6 illus, 5 tables, 7 ref

019503   Rajyalakshmi K;Victorbabu B R (Statistics Dep, Acharya Nagarjuna Univ, Guntur-522 510, Email: victorsugnanam@yahoo.co.in) : Construction of second order slope rotatable designs under tri-diagonal correlated structure of errors using pairwise balanced designs. Int J agric statist Sci 2015, 11(1), 1-7.

In this paper, second order slope rotatable design under tri-diagonal correlated structure of errors using pairwise balanced designs (PBD) is suggested.

1 table, 15 ref

019502   Rajpoot C;Tiwari N (CSE Dep, SRCEM, Banmore) : Efficient attack detection using information gain, C4.5 and decision tree algorithm. Int J latest Technol Engng Mgmt appl Sci 2015, 4(1), 43-7.

Network is increasing rapidly so, security is a major problem in networks. Internet attacks are growing, and there have been several attack approaches, consequently. Attack detection systems are using various data mining techniques to detect intrusions. In information security, attack detection is necessary because they attempt to compromise the privacy, reliability or availability of a resource. One of the primary challenges for intrusion detection is the problem of misjudgement, mis-detection and lack of real time response to the attack. In this paper, experiment results are calculated at the kddcup99 data set. Feature selection of the data set is executed using Information Gain (IG) and clear dissimilarity between normal and attack data is observed by using C4.5 decision tree algorithm.

5 illus, 3 tables, 16 ref

019501   Prongjit S;Sodsiri W (Mathematics Dep, Faculty of Science Khon Kaen Univ, Khon Kaen 40002, Thailand, Email: ayniris@hotmail.co.th) : Application of δ-fine tagged partitions in real analysis. Far East J mathl Sci 2014, 91(1), 97-109.

B. S. Thomson introduced the notion of full covers and proved that every full cover of a closed interval [a, b] contains a partition of [a, b]. The partitions extracted from full covers played an important role in the work of Botsko and Klaimon to simplify and unify proofs of several theorems in real analysis. In this paper, we develop the techniques given by Botsko and Klaimon to show how the concept of δ-fine tagged partitions can be used in place of partitions extracted from full covers.

7 ref

019500   Prongjit S;Sodsiri W (Mathematics Dep, Faculty of Science Khon Kaen Univ, Khon Kaen 40002, Thailand, Email: ayniris@hotmail.co.th) : More applications of δ-fine tagged partitions in real analysis. Far East J mathl Sci 2014, 91(2), 233-45.

Thomson introduced the notion of full covers and proved that every full cover of a closed interval [a, b] contains a partition of [a, b]. The partitions extracted from full covers played an important role in the work of Botsko, Klaimon, Zangara and Marafino to simplify and unify proofs of several theorems in real analysis. In this research, we continue our project and develop the techniques given by Zangara and Marafino to show how the concept of 8 -fine tagged partitions can be used in place of partitions extracted from full covers.

1 illus, 9 ref

019499   Prasertsang P;Teparos W (Sciences Dep, Faculty of Science and Engineering Kasetsart Univ, Chalermprkiat Sakon Nakhon Province Campus Sakon Nakhon, 47000, Thailand, Email: patarawadee@gmail.com) : (α, β)-pseudo-similarity in Γ-semigroups. Far East J mathl Sci 2014, 90(2), 129-39.

In this paper, we introduce the definition of (a, (5) -pseudo-similarity in Γ-semigroups, where α, β ∈ Γ, in order to generalize some characterizations of pseudo-similarity in semigroups founded by Chen [1]. As a result, we found some characterizations of (α, β-pseudo-similarity for Γ-semigroups.

10 ref

019498   Phanyaem S;Areepong Y;Sukparungsee S (Applied Statistics Dep, Faculty of Applied Science King Mongkut's Univ of Technology North Ban, Bangkok 10800, Thailand, Email: yupaporna@kmutnb.ac.th) : Explicit formulas of average run length for arma(1,1) process of cusum control chart. Far East J mathl Sci 2014, 90(2), 211-24.

The cumulative sum (CUSUM) control chart is widely used for monitoring industrial process. In real applications, there are many situations in which the process data are serially correlation such as in chemical process. It is important to be able to evaluate the average run length (ARL) of CUSUM control chart when observations are correlations. In this article, we use a Fredholm integral equation technique to derive the explicit formulas for the ARL of CUSUM control chart for autoregressive and moving average: ARMA(1, 1) process. We prove that the ARL is the unique solution to the integral equation under some weak regularity conditions. The precision of new explicit formulas was verified by using numerical integral equation techniques for several parameter values. The results show that the explicit formulas for ARL have high accuracy and take time much less than the numerical integral equation techniques.

6 tables, 15 ref

019497   Parajuli V;Silvestrov S;Mishra S K (Science and Humanities Dep, Pulchowk Campus Institute of Engineering, T.U., Nepal, Email: vparajuli@hotmail.com) : Paranormed sequence spaces w(u, v; p, Δ), w₀(u, v; p, Δ) and w_∞(u, v; p, Δ) generated by combining a generalized weighted mean and a difference operator. Far East J mathl Sci 2014, 90(2), 253-69.

22 ref

019496   Panwar M S;Jitendra Kumar;Tomer S K (Statistics and DST-CIMS Dep, Banaras Hindu Univ, Varanasi-221 005, Email: sktomer73@gmail.com) : Competing risk analysis of failure censored data from Maxwell distribution. Int J agric statist Sci 2015, 11(1), 29-34.

Authors consider the analysis of type-II censored system lifetime data using competing risk model. Assuming the component lifetimes to be Maxwell distribution, we derive maximum likelihood estimators of component parameters and provide asymptotic confidence intervals for them. We also obtain Bayes estimators of component parameters using Gibbs sampler and also evaluate the highest posterior density confidence intervals. The results are illustrated through simulation study.

3 illus, 2 tables, 7 ref

019495   Pandey S K;Burman N;Ram Kishan (Statistics Dep, Lucknow Univ, Lucknow-226 007, Email: prof_sunil.pandey@gmail.com) : Queuing model with poisson arrival, arbitrary service time distribution and with finite capacity of the system. Int J agric statist Sci 2015, 11(1), 117-22.

This paper presents the situation when the arrival distribution is Poisson with mean arrival rate λ, service time distribution is s(t) with mean service rate θ, there is single service channel, capacity of the system is limited to N and service discipline is first come first served.

6 ref

019494   Mulhem S (Mathematics Dep, Al-Baath Univ, Homs, Syria, Email: salehmulhem@hotmail.com) : Fast differential transform method for the solution of high order boundary-value problems. Far East J mathl Sci 2014, 91(2), 259-73.

In this paper, we present the fast differential transform method (FDTM) for obtaining approximate solutions of high-order boundary value problems (BVPs). This proposed strategy will be implemented to construct such solutions. The suggested improvement to the proposed problem is introduced, so that DTM becomes applicable. Two examples are presented to illustrate the reliability and effectiveness of the FDTM for handling high-order BVPs.

7 tables, 16 ref

019493   Mohan Naidu G (Statistics and Mathematics Dep, S.V. Agricultural College, Tirupati-517 502, Email: naidu_svag2001@yahoo.com) : Applicability of Arima models in wholesale vegetable market. Int J agric statist Sci 2015, 11(1), 69-72.

This paper attempts ARIMA models in wholesale market are built taking sales data on one less perishable vegetable from Bowenpally market of Hyderabad in Andhra Pradesh. It is found that these models can be applied to forecast the demand with Mean Absolute Percentage Error (MAPE) in the range of 33. This error is acceptable in produce market where the demand and prices are highly unstable. The ARIMA (2,1,1) model was found to be appropriate to forecast the demand of potato for the month of December, 2013. The mean sales on Sunday are high as compared to other week days. This model can facilitate the farmers and wholesalers in effective decision making.

4 illus, 1 table

019492   Mirajkar R M;Kore B G (NO, Dr. Babasaheb Ambedkar College, Peth Vadgaon, Dist. Kolhapur-416 112, Email: rmm2stats@gmail.com) : A role of weight function in the estimation of Weibull percentiles. Int J agric statist Sci 2015, 11(1), 53-8.

In this article, the focus is on the estimation of Weibull percentiles by considering weight functions and probability estimators. The percentiles are estimated by weighted linear regression method and analytical method. The criterion of study is to observe smaller standard deviation in choosing the best method of estimation. The best combination of weight function and probability estimator is observed and the comparison is done with the analytical method to decide the best method of estimation. Simulation study is carried out by MATLAB. The best method of estimation of Weibull percentiles is applied on real life data sets. This study will be useful to observe statistical variation in the fracture strength of brittle materials like ceramics, glass, fibers.

7 tables, 10 ref

019491   Manimaran S;Gunasekar T;Subramaniyan G V;Suba M (NO, Ramakrishna Mission Vivekananda College, Chennai-600 004, Email: ponsumanimaran@gmail.com) : Existence results for impulsive nonlinear neutral functional integrodifferential inclusions with infinite delay. Far East J mathl Sci 2014, 91(2), 133-56.

In this paper, we prove the existence of mild solution for a class of semilinear impulsive neutral functional integrodifferential inclusions with infinite delay in Banach spaces. The results are obtained by using fixed point theorem for condensing maps due to Martelli [32].

35 ref

019490   Malik S C;Dhankhar A K;Sureria J K (Statistics Dep, M.D. Univ, Rohtak-124 001, Email: sc_malik@rediffmail.com ) : Stochastic analysis of a system with replacement of unit and server subject to inspection. Int J agric statist Sci 2015, 11(1), 81-7.

This paper presents the stochastic analysis of a single-unit system. The system fails completely either directly from normal mode or via partial failure. There is a single server who is subjected to failure while performing jobs. Server inspects the unit at its partial failure to see the feasibility of the repair. If its repair is not feasible, it is replaced immediately by new one. However, repair of the unit at its complete failure is done without inspection. The failed server undergoes for treatment by an expert person (may be a medical doctor). If server is not curable by treatment, he is replaced immediately by another server to resume the jobs. The failure time of the unit and server are distributed exponentially while the distributions of inspection and repair times of the unit as well as treatment and inspection times of the server are taken as arbitrary. Various reliability measures are derived using semi-Markov process and regenerative point technique. The profit analysis of system model has also been made for arbitrary values of various parameters and costs.

4 ref

019489   Lakshmi S;Senbagavalli M M (NO, Government Arts & Science College, Paravurani-614 804, Email: lakshmi291082@yahoo.co.in) : Weibull related distribution model for finding the effect of CCK-B on stressor arginine vasopressin. J Indian Acad Math 2014, 36(1), 105-17.

6 illus, 24 ref

019488   Koyuncu N (Statistics Dep, Hacettepe Univ, Beytepe, Ankara, Turkey, Email: nkoyuncu@hacettepe.edu.tr) : Ratio estimation of the population mean in extreme ranked set and double robust extreme ranked set sampling. Int J agric statist Sci 2015, 11(1), 21-8.

This paper suggests ratio type estimators of population mean using first or third quartiles and mean of auxiliary variable under extreme ranked set and double robust extreme ranked set sampling. The bias and mean square error of estimators are derived by theoretically. Empirical studies have been done to demonstrate the efficiency of proposed estimator over the existing estimators. We have found that proposed ratio type estimators are more efficient than existing estimators.

2 tables, 6 ref

019487   Kirisci M (Mathematical Education Dep, Hasan Ali Yucel Education Faculty, Istanbul Univ, Vefa, 34470, Fatih, Istanbul, Turkey, Email: mkirisci@hotmail.com) : p-Hahn sequence space. Far East J mathl Sci 2014, 90(1), 45-63.

The main purpose of the present paper is to introduce the space h_p and study of some properties of this new sequence space. Also, we compute its dual spaces and give the characterizations of some classes of matrix transformations.

13 ref

019486   Khan M I (Mathematics Dep, Faculty of Science, Islamic Univ in Madinah, Madinah, KSA, Email: izhar.stats@gmail.com) : Characterization of general class of distribution based on upper record values. Int J agric statist Sci 2015, 11(1), 43-5.

In this paper, an attempt is made to characterize the general class of distribution through the conditional expectation of upper record value conditioned on non-adjacent upper record value. This work extends the result of Khan and Athar.

14 ref

019485   Joshi S S (Mathematics Dep, Walchand College of Engineering, Sangli-416 415, Email: sayali_75@yahoo.co.in) : Certain subclass of harmonic functions associated with K-uniformly starlike functions. J Indian Acad Math 2014, 36(1), 29-39.

In the present paper certain subclass of harmonic function is defined and properties like coefficient bound, distortion theorem and representation theorem are obtained.

8 ref

019484   Joshi A N;Ghosh D K (Statistics Dep, St. Xavier's College, Ahmadabad-380 009, Email: joshiaruna79@yahoo.com) : Inverse exponential distribution : different methods of estimation. Int J agric statist Sci 2015, 11(1), 105-10.

In this paper, we derive the estimation of the different parameters of an inverse exponential distribution using maximum likelihood estimation. We also obtain the solution of the estimate of the parameters using different methods of estimation for the same distribution. Further, we compare the estimation of different parameters obtained from different methods. These comparison was supported through a numerical example based on simulation technique.

4 tables, 13 ref

019483   Jeelani M I;Mir S A;Raja T A;Khan I;Maqbool S;Nazir N;Jeelani F (Agricultural Statistics Div, Sher-e-Kashmir Univ of Agril. Sciences & Tech., Kashmir-190 025, Email: tariqaraja@rediffmail.com) : An improved class of ratio estimators under ranked set sampling. Int J agric statist Sci 2015, 11(1), 233-8.

In this article, we have proposed some ratio estimators for the study variable based on the linear combination of known values of Co-efficient of Skewness and Quartile Deviation of the auxiliary variable utilizing Ranked set sampling and Simple random sampling are proposed. Mean squared errors up to the first degree of approximation are derived. The proposed ratio estimators under ranked set sampling perform better than the proposed ratio estimators under simple random sampling. The simulated study has been carried out in support of the results.

3 tables, 12 ref

019482   Jajang;Saefuddin A;Mangku I W;Siregar H (Mathematics Dep, Jenderal Soedirman Univ, Jl. Dr. Suparno, Kampus UNSOED Karangwangkal Purwokerto, 53123, Indonesia, Email: rzjajang@yahoo.com) : Comparing performances of WG, WGnew and WC on dynamic spatial panel model by monte carlo simulations. Far East J mathl Sci 2014, 90(1), 17-34.

Spatial weights matrix is an important component on spatial data modeling. In most spatial models, the spatial weights matrix generally used on neighborhood among spatial units which is called contiguity weights matrix (WC). AMOEBA (a multidirectional optimum ecotope-based algorithm) is one of the techniques to construct spatial weights matrix based on both location neighborhood and proximity of interest variable using local Getis statistic. The focus of this paper is to compare the performances of WG (weights matrix from AMOEBA that uses local Getis statistic), WGnew (weights matrix from AMOEBA that uses modified local Getis statistic) and WC. To assess their performances, they are applied on dynamic spatial panel model using simulated data and we use root of mean of squared error (RMSE) as comparison criteria. The research results show that WGnew gives the best performance on all coefficients of spatial lag. The other finding of this research is that the performances of WG and WGnew are better than WC for small coefficients of lag spatial.

2 illus, 1 table, 20 ref

019481   Jain S;Jauhari N (Mathematics Dep, Govt. College, Kalapipal, Madhya Pradesh, Email: jsuman63@gmail.com) : Common fixed point theorem for occasionally weakly compatible mappings in fuzzy metric space. J Indian Acad Math 2014, 36(1), 71-84.

The present paper deals with common fixed point theorem in fuzzy metric space by employing the notion of occasionally weakly compatible mappings. Our result generalizes the recent result of Singh et al. [16].

17 ref

019480   Indriati D;Widodo;Vijayanti I E;Sugeng K A (Mathematics Dep, Faculty of Mathematics and Natural Sciences Sebelas Maret Univ, Surakarta, Indonesia, Email: diari_indri@yahoo.co.id) : On the total edge irregularity strength of gear and related graphs. Far East J mathl Sci 2014, 90(1), 117-27.

A total k-labeling is a function that maps all of vertices and edges of graph G into a set of positive integer labels {1, 2, ..., k}. A total k-labeling of G such that the weights calculated at all edges are distinct, is called an edge irregular total k-labeling. A total edge irregularity strength of G, denoted by tes(G), is a minimum value of the largest label k over all such irregular total k-labelings on G. In this paper, we investigate the total edge irregularity strength of a gear graph G_n and two families of related graphs.

7 ref

019479   Hassani S;Mammadov M A (National Information and Communications Technology Australia (NICTA), Federation Univ, Australia, Victoria 3353, Australia, Email: sarahassani@students.federation.edu.au) : Sigma supporting cone and optimality conditions in non-convex problems. Far East J mathl Sci 2014, 91(2), 169-90.

In this paper, a new supporting function for characterizing non-convex sets is introduced. The notions of σ-supporting cone and maximal conic gap are proposed and some properties are investigated. By applying these new notions, we establish the optimality conditions considered in [7] for a broader class of finite dimensional normed spaces in terms of weak subdifferentials.

11 ref

019478   Gupta J P;Mahajan P K;Bharti (NO, , 32/3, Nehru Road, Civil Lines, Meerut City-250 002, Email: pawan_uhf@yahoo.com) : Extimation of correlation coefficient in probability proportional to size without replacement sampling scheme. Int J agric statist Sci 2015, 11(1), 135-41.

An estimator 'r_J' of the population correlation coefficient has been suggested for finite population in case of probability proportional to size without replacement (PPSWOR) sampling scheme. The approximate expression for bias and variance of the estimator has also been obtained. The paper concludes with a numerical illustration by considering 10 natural populations.

2 tables, 9 ref

019477   Gayathiri B;Murugesu R (Science and Humanities Dep, Sree Sakthi Engineering College, Karamadai 641104, Email: vinugayathiri08@gmail.com) : Almost automorphic solutions of neutral functional integrodifferential equations with infinite delay. Far East J mathl Sci 2014, 91(1), 17-43.

In this paper, we study the existence of almost automorphic solutions for some neutral first-order functional integrodifferential equations with S^p -almost (Stepanov-like) automorphic coefficients.

24 ref

019476   Erliana W;Wayan Mangku I;Sumarno H (Mathematics Dep, Bogor Agricultural Univ, Jalan Meranti, Kampus IBP Darmaga Bogor 16680, Indonesia, Email: windi.math@gmail.com) : Estimating the intensity obtained as the product of a periodic function with the power function trend of a non-homogeneous poisson process. Far East J mathl Sci 2014, 90(2), 163-72.

We construct and investigate a kernel-type non-parametric estimator of the intensity obtained as the product of a periodic function with the power function trend of a non-homogeneous Poisson process. We consider the situation when only a single realization of the Poisson process is available and observed only in bounded interval. The proposed estimator is proved to be consistent when the size of the interval indefinitely expands. The asymptotic bias and variance of the proposed estimator are also computed.

3 ref

019475   Dyavanal R S (Mathematics Dep, Karnatak Univ, Dharwad-580 003, Email: renukadyavanal@gmail.com) : On the value distribution of differential polynomials of meromorphic functions. Far East J mathl Sci 2014, 90(2), 173-86.

In this paper, we deal with the value distribution of differential polynomials generated by a transcendental meromorphic function and obtain two inequalities that are significant improvements and generalisations of some earlier results. These inequalities are useful in value sharing off and its differential polynomials. As a very particular case, we deduce the results of Kit Wing Yu, Lahiri and Shyamili Dewan.

6 ref

019474   Dhaigude D B;Patil D P (Mathematics Dep, Dr Babasaheb Ambedkar Marathwada Univ, Aurangabad) : On symmetric solution of elliptic boundary value problems. Int J latest Technol Engng Mgmt appl Sci 2015, 4(1), 48-53.

Aim of this paper is to study the symmetry of solutions of nonlinear elliptic differential equations of type Δu + V(|x|)e^u = 0 in R³, which arise in geometry and various branches of physics. Symmetry of solutions is proved by applying method of moving planes.

17 ref

019473   Chuarkham K;Intarasit A (Faculty of Commerce and Management, Prince of Songkla Univ, Trang Campus 92000, Thailand, Email: ckhanchit@hotmail.com) : Derivation of finite-time ruin probability in the discrete-time surplus process with exponential claims and exponential inter-arrival times. Far East J mathl Sci 2014, 90(1), 65-77.

In this paper, we study the discrete-time surplus process under the condition that the claims can be controlled by reinsurance. The objective is to find the direct derivation of finite time ruin probability with exponential claims and exponential inter-arrival times, and applications for the minimum initial capital under a given ruin probability. Then, the direct derivation of finite time ruin probability is proved and some examples in approximating the minimum initial capital for exponential claims and exponential inter-arrival times are provided.

2 tables, 5 ref

019472   Choi J;Rathie A K (Mathematics Dep, Dongguk Univ, Gyeongju 780-714, Korea, Email: junesang@mail.dongguk.ac.kr) : Two unified reduction formulae for the lauricella functions of several variables. Far East J mathl Sci 2014, 90(1), 79-88.

The main objective of this paper is to present two unified reduction formulas of generalized Lauricella series in several variables from which it is shown how one can obtain as many as desired reduction formulas for the Lauricella functions of several variables. Relevant connections of several special cases of our main results with some known ones are also considered.

15 ref

019471   Choi E;Jo J (Mathematics Dep, Hannam Univ, Daejon, Korea, Email: emc@hnu.kr) : Lucas semisimple continued fraction. Far East J mathl Sci 2014, 91(1), 45-63.

In this paper, we investigate the ratios of Lucas numbers which are k step apart. The ratios will be expressed by certain semisimple continued fractions which are composed of only Lucas numbers. Conversely, a finite semisimple continued fraction yields explicit values of the nth Lucas numbers.

7 ref

019470   Chew C Y;Lim C S (Mathematical Dep, Actuarial Sciences Universiti Tunku Abdul Rahman Jalan Genting Kelang, Malaysia) : Rectangular numbers and rational distance. Far East J mathl Sci 2014, 90(1), 1-15.

We discuss about preliminary properties of rectangular numbers and show how it can be used in rational distances problems. We provide a method to generate set of four points on the parabola, y = x² so that the distance between any pair of them is rational. We also show that if the following conjecture is true, then there is no point on the plane that has rational distances to all corners of unit square. Conjecture (*) If we have m, n ∈ Q that satisfy h(m) + 1/k = h(n), for k ∈ Q and k ≠ 1, then there is no rational number m, n' that satisfy h(m') + 1/(1 ± k) = h(n').

4 illus, 5 ref

019469   Byeong-Ho K;Yun Y S (NO, School of Engineering and ICT Univ of Tasmania Private Bag 100, Hobart, TAS Australia) : A sketch of graphs of the generalized trigonometric fuzzy sets for the fundamental operations. Far East J mathl Sci 2014, 90(1), 35-44.

We generalize the trigonometric fuzzy number and calculate the four fundamental operations between generalized trigonometric fuzzy sets. We give a concrete example but cannot give the explicit graph of the results because the results are given by the inverse functions. We sketch graphs roughly for the results of the example using Mathematica. We know that our results are correct from the rough graphs.

6 illus, 5 ref

019468   Biswas D;Barbhuiya M H (Mathematics Dep, Assam Univ, Silchar, Email: dvj48@radiffmail.com) : Two-layered newtonian model for blood flow through tapering asymmetric stenosed artery with velocity slip at the interface. J Indian Acad Math 2014, 36(1), 167-85.

The paper deals with a mathematical model for two-layered blood flow through a tapered artery with a non-symmetric mild stenosis. In the model, the flow is assumed to be steady, laminar and unidirectional and, a velocity, flow rate, and wall shear stress. Their variations with different flow parameters are plotted graphically and the behavior of these flow variables in this constricted region has been discussed. The present analysis includes some blood flow models as its special cases: Flow variables viz., axial velocity, flow rate and wall shear stress, ate influenced by the shape parameter, tapering angle and velocity slip. Biological implications of the present modeling are accommodated in brief.

7 illus, 54 ref

019467   Biswas D;Ali M (Mathematics Dep, Assam Univ, Silchar-788 011, Email: dj48@rediffmail.com) : Two-layered mathematical model for blood flow in inclined artery with symmetric stenosis and velocityslip at interface. J Indian Acad Math 2014, 36(1), 85-103.

The paper considers a mathematical model for blood flow through an inclined artery with the growth of an asymmetric stenosis and velocity slip at the interface. The model consists of a core region of red blood cell suspension in the middle layer and the peripheral plasma layer (PPL) in the outer region. It is assumed that both the core and the peripheral-plasma layer are represented by a Newtonian fluid with different viscosities μ₁ and μ_n respectively. Analytical expressions are obtained for axial velocity, flow rate, and wall shear stresses. The behaviour of three flow variables have been included here. By employing velocity slip at interface, axial velocity and flow rate can be accelerated on one hand and impedance to flow can be retarded on the other. The present analysis includes some mathematical models as its special cases. Physiological implications of this theoretical modeling to blood flow situations, art also discussed in brief.

7 illus, 41 ref

019466   Biradar B S (Studies in Statistics Dep, Mysore Univ, Mysuru-570 006, Email: biradarbs@statistics.uni-mysore.ac.in ) : On comparison of different estimators of the population mean using ranked set sampling. Int J agric statist Sci 2015, 11(1), 9-13.

Many variations of ranked set sampling methods have been studied for estimating the population mean. In the situation, when the sampling units in a study can be easily ranked than quantified, the ranked set sampling methods are found to be more efficient and cost effective as compared to the simple random sampling. In this paper, estimation of population mean based on several Ranked set sampling methods over simple random sampling methods is presented.

2 tables, 12 ref

019465   Beltagy M;Shenawy S;Elsharkawy A (Mathematics Dep, Faculty of Science, Tanta Univ, Tanta, Egypt, Email: beltagy50@yahoo.com) : Convexity and two piece property In S<. Far East J mathl Sci 2014, 91(1), 111-21.

A subset A of Sⁿ, n ≥ 2, has spherical two piece property if any hypersphere cuts A into at most two pieces. A subset A of Sⁿ has totally geodesic two piece property if any totally geodesic hypersurface in Sⁿ, n ≥ 2, cuts A into at most two pieces. In this article, we study some geometric properties of subsets in Sⁿ - as a manifold with focal points and these types of two piece properties in Sⁿ.

5 illus, 7 ref

019464   Balamurugan K S;Ramaiah P;Varma S V K; Ramaprasad J L (Mathematics Dep, RVR & JC College of Engineering Guntur, Andhra Pradesh, Email: muruganbalaks@gmail.com) : Thermal radiation and radiation absorption effects of unsteady MHD double diffusive free convection flow of kuvshinski fluid past a moving porous plate embedded in a porous medium with chemical rection and heat generation. Far East J mathl Sci 2014, 91(2), 211-31.

The objective of the present work is to analyze the effects of chemical reaction, thermal radiation and radiation absorption on unsteady double diffusive free convection flow of Kuvshinski fluid past a moving porous plate with heat generation under the influence of a uniform transverse magnetic field. The plate moves with constant velocity in the direction of fluid flow while the free stream velocity is assumed to follow the exponentially increasing small perturbation law. The governing equations for this investigation are formulated and solved using perturbation technique. Non-dimensional velocity, temperature, concentration, skin-friction coefficient, Nusselt number and Sherwood number are discussed through graphs for different values of parameters entering into the problem.

6 illus, 18 ref

019463   Bahri M;Junaedi (Mathematics Dep, Hasanuddin Univ, Jl. Perintis Kemerdekaan KM 10 Tamalanrea Makassar 90245, Indonesia, Email: mawardibahri@gmail.com) : On two-dimensional reduced biquaternion fourier transform. Far East J mathl Sci 2014, 90(2), 225-34.

8 ref

019462   Bahl S;Mehta B (Statistics Dep, M.D. Univ, Rohtak-124 001, Email: bhawna0111@gmail.com) : Estimators in simple random sampling using auxiliary information. Int J agric statist Sci 2015, 11(1), 131-33.

This paper proposed a new kind of estimator based on appropriate weighing of the sample means of the main and the auxiliary variables. It is shown that the proposed estimator is more efficient, when compared with the regression, ratio and the mean per unit estimator under certain restrictions on the correlation coefficient between main and the auxiliary variables.

2 ref

019461   Bachtiar A A;Kosasih R (Mathematics Dep, Univ of Indonesia, Indonesia, Email: alhaji1104@yahoo.com) : Bipas flow with dominant poloidal component. Far East J mathl Sci 2014, 91(1), 89-96.

In this paper, we discuss the planarized BIPAS flow. BIPAS and QuasiPAS are modification flows from the Pekeris, Accad and Shkoller flow. These flows were firstly introduced by Bachtiar [1]. He established the flow, along with QuasiPAS flow, in order to find a planar velocity dynamo. He reported he did not find any planar velocity dynamo using fully-planarized BIPAS. Bachtiar et al. [2] reported that the poloidal component of the QuasiPAS plays an important role in improving the rate of the magnetic field. So, in this project, we tried to observe the effect of planarized poloidal part of BIPAS on the rate of change of the Earth's magnetic field. We concluded that poloidal component on the planarized BIPAS gives an important role in improving the rate of magnetic field. We, however, do not find any successful kinematic dynamos within the observed magnetic Reynolds number's interval.

3 illus, 7 ref

019460   Arul R;Mani M (Mathematics Dep, Kandaswami Kandar's College, Velur-638 182, Email: rarulkkc@gmail.com) : Oscillation solutions to third order half-linear neutral differential equations with "MAXIMA". Far East J mathl Sci 2014, 90(1), 89-101.

15 ref

019459   Almousa M;Ismail A (School of Mathematical Sciences, Universiti Sains Malaysia 11800 USM, Penang, Malaysia, Email: mohammadalmousa12@yahoo.com) : Exact solutions for systems of linear and nonlinear fredholm integral equations by using optimal homotopy asymptotic method. Far East J mathl Sci 2014, 90(2), 187-202.

In this paper, the optimal homotopy asymptotic method (OHAM) for solving systems of linear and nonlinear Fredholm integral equations has been presented. The results show that this new procedure is simple and effective in solving systems of Fredholm integral equations.

2 tables, 27 ref

019458   Abusalim S M;Noorani M S M (School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia 4360, Selangor Darul Ehsan Malaysia, Email: saharabosalem@gmail.com) : Generalized distance in cone metric spaces and tripled coincidence point and common tripled fixed point theorems. Far East J mathl Sci 2014, 91(1), 65-87.

The extensions of the concept of common coupled fixed points are common tripled fixed points. In this paper, we demonstrate some tripled coincidence point and common tripled fixed point theorems on cone metric spaces under the idea of c-distance. Some examples are given to support our theorems.

22 ref