Some results on majorization and their applications

被引：55

作者：

Kundu, Amarjit ^{[1
]}

Chowdhury, Shovan ^{[2
]}

Nanda, Asok K. ^{[3
]}

Hazra, Nil Kamal ^{[4
]}

机构：

[1] Santipur Coll, Dept Math, Santipur, W Bengal, India

[2] Indian Inst Management Kozhikode, Quantitat Methods & Operat Management Area, Kozhikode, Kerala, India

[3] IISER Kolkata, Dept Math & Stat, Mohanpur 741246, India

[4] Univ Free State, Dept Math Stat & Actuarial Sci, ZA-9300 Bloemfontein, South Africa

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2016年 / 301卷

关键词：

Gamma model; Generalized exponential model; Schur-convex function; Schur-concave function; Stochastic orders; PARALLEL SYSTEMS; STOCHASTIC COMPARISONS; GAMMA COMPONENTS; DISTRIBUTIONS;

D O I：

10.1016/j.cam.2016.01.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 phi defined by phi (x) = Sigma(n)(i=1) 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. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：161 / 177

页数：17

共 18 条

[1]

[Anonymous], CLASSICAL NEW INEQUA

[2] Majorization: Here, there and everywhere [J].