ON LIKELIHOOD-RATIO ORDERING OF ORDER-STATISTICS

被引：33

作者：

BAPAT, RB

KOCHAR, SC

机构：

[1] Indian Statistical Institute New Delhi

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1994年 / 199卷

关键词：

D O I：

10.1016/0024-3795(94)90353-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X1, ..., X(n) be independent random variables such that [GRAPHICS] where < denotes likelihood-ratio ordering. It is shown that, under mild assumptions, the corresponding order statistics X(1) less-than-or-equal-to ... less-than-or-equal-to X(n) are similarly ordered, i.e., [GRA

引用

页码：281 / 291

页数：11

共 9 条

[1]

[Anonymous], 1996, STOCHASTIC PROCESSES

[2]

Bapat R.B., 1989, SANKHYA A, V51, P78

[3] SYMMETRICAL FUNCTION MEANS AND PERMANENTS [J].

BAPAT, RB .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1993, 182 :101-108

[4]

BOLAND PJ, 1991, APPLICATIONS HAZARD

[5]

Keilson J, 1982, CAN J STAT, V10, P181, DOI DOI 10.2307/3556181

[6] ORDERED FAMILIES OF DISTRIBUTIONS [J].

LEHMANN, EL .

ANNALS OF MATHEMATICAL STATISTICS, 1955, 26 (03) :399-419

[7]

Marshall A. W., 1979, INEQUALITIES THEORY, V143

[8]

Sethuraman J., 1991, IMS LECT NOTES, V16, P121

[9] NOTES ON EGORITSJEV PROOF OF THE VANDERWAERDEN CONJECTURE [J].

VANLINT, JH .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1981, 39 (AUG) :1-8

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