Papers

Journal of Ultra Scientist of Physical Sciences - A
Voulume: 22
Issue: 2
Article No. 31
Estimation of parameters of exponential distribution when the observations are progressive type II censored
V. Shastri
Department of Statics, Govt. Arts & Science College, Ratlam (M.P.) INDIA)
S. Pamari
Department of Statics, Govt. Arts & Science College, Ratlam (M.P.) INDIA)
R. Shastri
Department of Statics, Govt. Arts & Science College, Ratlam (M.P.) INDIA)
Abstract :

The paper deals with the 1-parameter exponential distribution when the observations are progressive type II censored. Using a generalized non-informative prior, Bayes estimators of scale parameter and reliability function are proposed. The proposed estimators are compared with their corresponding MLE's and BLUE's on the besis of a Monte Carlo Simulation study of 1000 samples.

 

Keyword : Progressive type II censoring, exponential distribution, maximum likelihood estimators, Bayes estimators, Monte Carlo Simulation
DOI : jusps-A
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Article No. 32
On the Degree of Approximation to a Function Belonging to the Class Lip (a, p) 0 < a £ 1, p > 1, by Kl (E, 1) Means of its Fourier Series
V.N. Tripathi
Department of Mathematics S.B. P.G. College, Baragaon, Varanasi (INDIA)
Yogesh Pathak
Department of Mathematics S.B. P.G. College, Baragaon, Varanasi (INDIA)
Abstract :

The present paper deals with a theorem on the degree of approximation to a function belonging to the class Lip (a, p), 0 < a £ 1, p > 1 by Kl (E, 1) means of its Fourier series. It extends the result obtained by Tripathi and Prasad11 on the degree approximation to a function f Î Lip a, 0 < a £ 1, by (N, p, q) (E, 1) means of its Fourier series.

Keyword : Degree of Approximation , to a Function Belonging to the Class Lip
DOI : jusps-A
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Article No. 33
Asymptotic properties of the Hermite-Fejér interpolation on the zeros of ultraspherical polynomials
Swarnima Bahadur
Department of Mathematics & Astronomy, Lucknow, University, Lucknow - 226007 (INDIA)
Abstract :

In this paper, we give a result concerning an asymptotic property of Ak(cos qk) associated with the HermiteFejér interpolation on the zeros xk = cos qk of Ultraspherical polynomial.

Keyword : Hermite Feju00e9r interpolation, Ultraspherical polynomial
DOI : jusps-A
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Article No. 34
System States for a series of finite queue having exponential Distribution
SANDEEP DIXIT
Department of Mathematics V.S.S.D. College, Kanpur (INDIA)
Abstract :

In this paper a method of classifying and enumurating a feasible system states of a series of finite queue having exponential distribution has been described. In this paper we investigate the queueing situation when service times are assumed to be exponential and no specific assumption is made concerning the arrival pattern other than that successive interarrival times are independent and identically distributed. The method utilizes matrix multiplication to combine subsystems or to add extra stations to an existing system Storing the classified states of an L-station system the an L-dimensional array.

Keyword : System States , finite queue having , exponential Distribution
DOI : jusps-A
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Article No. 35
Studies on Clustering, Based on Edge-Connectivity in a Fuzzy Graph
S. Gountia (sujata_attabira@rediffmail.com)
Teacher Fellow, G.M. College, Sambalpur (INDIA) Orissa
S. K. Sahoo (sahoosk1@rediffmail.com)
Institute of Mathematics & Applications, Bhubaneswar (INDIA) ORISSA
Abstract :

M. R. Anderberg (1973) and B. S. Everitt (1993) have developed the cluster Analysis which is a process to decompose the set of objects from a finite set into subgroups or clusters based on similarity. Crisp clustering techniques are classified into 3 groups according to the algorithmic approach as (i) Hierarchical clustering method (ii) Graph-Theoretic clustering method (iii) Objective function based clustering method. Graph-theoretic clustering methods are normally based on some kind of connectivity of the nodes of a graph representing the data set. The fuzzy graph approach is more powerful in cluster analysis than the usual graph-theoretic approach. The concept of fuzzy graph with edges associated with two types of weights were studied before9. In this study a min-max weight of the cut set and min-max edge connectivity are introduced. The clustering technique of narrow slicing procedure2 based on edge connectivity has been adopted for determining -edge components of a fuzzy graph.

 

 

Keyword : Fuzzy graph, cluster, connectivity, edge connectivity, vertex connectivity
DOI : jusps-A
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Article No. 36
Common Random Fixed Point theorem for compatible random operators
M.S. Chauhan
Nehru Govt. College, Agar Malwa
V.H. Badshah
School of studies in Mathematics, Vikram University, Ujjain M.P. (INDIA)
Neetu Vishwakarma
School of studies in Mathematics, Vikram University, Ujjain M.P. (INDIA)
Abstract :

The aim of this paper is to prove some common random fixed point theorem for four compatible random operators satisfying rational inequality.

 

Keyword : Random fixed point,, Compatible maps, Polish space
DOI : jusps-A
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Article No. 37
The Generalized Weighted Elementary Symmetric Mean
K. M. Nagaraja (kmn_2406@yahoo.co.in)
Department of Mathematics, Sri Krishna Institute of Technology, Chickbanavara, Bangalore - 90 Karnataka (INDIA)
V. Lokesha
Department of Mathematics, Acharya Institue of Tehcnology, Soldvahnalli, Bangalore -90, Karnataka (INDIA)
Zhen-Gang Xiao (xzgzzh@163.com)
Department of Mathematics, Human Institute of Science and Technology, Yueyang City, Human Province 414006 P.R. (CHINA)
Zhi-hua Zhang (zxzh1234@163.com)
Zixing Educational Research Section, Chenzhou City, Human Province 423400 P.R. (INDIA)
Abstract :

A weighted generalization of the generalized elementary symmetric mean is given, studied some properties and main results.

 

Keyword : generalized elementary symmetric mean, weighted, inequality.
DOI : jusps-A
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Article No. 38
Magnetized bulk viscous Bianchi type ix cosmological models with variable A
ATUL TYAGI
Department of Mathematics & Statics, University, College of Science, Mohanlal Sukhadia, University, Udaipur - 313001 (INDIA)
GAJENDRA PAL SINGH (gajendrasingh237@gmail.com0
Department of Mathematics Maharaja College of Engineering Udaipur - 313024 (INDIA)
Abstract :

Some Bianchi type IX cosmological models with electromagnetic field are investigated in presence of bulk viscous fluid. For the complete determination of the model we assume that expansion (¢) in the model is proportional to the eigen value of the shear tensorThis condition leads to where and n are constants. Also the fluid obey the equation of state p = rg where 0 £ g £ 1. Some physical and geometrical features of the models are also discussed.

 

Keyword : Bianchi IX, Electromagnetic field, Bulk Viscous fluid, Variable
DOI : jusps-A
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Article No. 39
On the Summability of Factor theorem
Sandeep Kumar Tiwari
School of studies in Mathematics, Vikram University, Ujjain M.P. (INDIA)
Dinesh Kumar Kachhara (dkkahhara@rediffmail.com)
Department of Mathematics and Computer, Mandsaur Institute of Pharmacy, Mandsour (INDIA)
Abstract :

In this paper a main theorem on Nörlund summability of Factor, which generalizes a known result on Nörlund summability factors theorem, has been proved. In 1973, Tripathi, L.M. and Prasad K.8 obtained Absolute Nörlund summability factors of Fourier series. In 2002, Rhoades B.E. and Savas Ekrem7 obtained on Absolute Nörlund summability of Fourier series. In this paper, we obtain the comparable result of 8 and7 on the Nörlund summability of factor theorem. 

Keyword : Summability , Factor theorem
DOI : jusps-A
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Article No. 40
v
V. NAGARAJAN (vnagarajan64@yahoo.co.in)
Department of Mathematics, S.T. Hindu College, Nagercoil - 629001
Abstract :

Construction on stochastic models help in accommodating the effect of uncertainty in life science, In this study stochastic models are constructed for the family building components which shows random variation during the time of pregnancy. Such variables selected are Viz: Hemoglobin, Blood pressure upper, Blood pressure lower and Blood sugar. For each one the upper and lower level were obtained from experts and the difference is equally spaced and the Markov-Transition Probability matrix is constructed for each one. The result indicated coincidence between the duration of pregnancy and the convergence of the Markov Transition Probability matrix, For substantiation additional variables Viz: gestation period baby weight were included and a linear multiple regression equation is estimated. The study reveals that Blood pressure (B.P) and Blood sugar control bring cheers in child health.

 

 

Keyword : Fetal age, Fetus, Fecundity, Transition probability matrix, regression coefficient
DOI : jusps-A
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