Title
Some results on majorization and their applications.
Abstract
Majorization is a key concept in studying the Schur-convex property of a function, which is very useful in the study of stochastic orders. In this paper, some results on Schur-convexity have been developed. We have studied the conditions under which a function ¿ defined by ¿ ( x ) = ¿ i = 1 n u i g ( x i ) will be Schur-convex. This fills some gap in the theory of majorization. The results so developed have been used in the case of generalized exponential and gamma distributions. During this, we have also developed some stochastic properties of order statistics. Some useful results on majorization are developed.This enriches the theory of majorization.As applications, some distributions have been studied.
Year
DOI
Venue
2016
10.1016/j.cam.2016.01.015
J. Computational Applied Mathematics
Keywords
Field
DocType
Gamma model,Generalized exponential model,Schur-convex function,Schur-concave function,Stochastic orders
Mathematical optimization,Exponential function,Mathematical analysis,Schur-convex function,Majorization,Gamma distribution,Stress majorization,Order statistic,Mathematics
Journal
Volume
Issue
ISSN
301
C
0377-0427
Citations 
PageRank 
References 
3
0.50
1
Authors
4
Name
Order
Citations
PageRank
amarjit kundu131.51
Shovan Chowdhury2173.02
Asok K. Nanda3265.28
Nil Kamal Hazra4113.72