Likelihood ratio order of sample minimum from heterogeneous Weibull random variables

Chen Li; Xiaohu Li

doi:10.1016/j.spl.2014.10.019

Likelihood ratio order of sample minimum from heterogeneous Weibull random variables

Chen Li
, Xiaohu Li

Department of Mathematical Sciences

Xiamen University

Research output: Contribution to journal › Article › peer-review

49 Scopus citations

Abstract

For heterogeneous Weibull samples with a common shape parameter and weakly majorized scale parameters, we study the likelihood ratio order and the stochastic order between minimums of independent and dependent samples, respectively. Also, an application in fabric strength is presented.

Original language	English
Pages (from-to)	46-53
Number of pages	8
Journal	Statistics and Probability Letters
Volume	97
DOIs	https://doi.org/10.1016/j.spl.2014.10.019
State	Published - 1 Feb 2015

Keywords

Archimedean copula
Log-convex
Majorization
Schur-convex
Weakest link

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10.1016/j.spl.2014.10.019

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title = "Likelihood ratio order of sample minimum from heterogeneous Weibull random variables",

abstract = "For heterogeneous Weibull samples with a common shape parameter and weakly majorized scale parameters, we study the likelihood ratio order and the stochastic order between minimums of independent and dependent samples, respectively. Also, an application in fabric strength is presented.",

keywords = "Archimedean copula, Log-convex, Majorization, Schur-convex, Weakest link",

author = "Chen Li and Xiaohu Li",

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doi = "10.1016/j.spl.2014.10.019",

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T1 - Likelihood ratio order of sample minimum from heterogeneous Weibull random variables

AU - Li, Chen

AU - Li, Xiaohu

PY - 2015/2/1

Y1 - 2015/2/1

N2 - For heterogeneous Weibull samples with a common shape parameter and weakly majorized scale parameters, we study the likelihood ratio order and the stochastic order between minimums of independent and dependent samples, respectively. Also, an application in fabric strength is presented.

AB - For heterogeneous Weibull samples with a common shape parameter and weakly majorized scale parameters, we study the likelihood ratio order and the stochastic order between minimums of independent and dependent samples, respectively. Also, an application in fabric strength is presented.

KW - Archimedean copula

KW - Log-convex

KW - Majorization

KW - Schur-convex

KW - Weakest link

UR - https://www.scopus.com/pages/publications/84912544628

UR - https://www.scopus.com/pages/publications/84912544628#tab=citedBy

U2 - 10.1016/j.spl.2014.10.019

DO - 10.1016/j.spl.2014.10.019

M3 - Article

AN - SCOPUS:84912544628

SN - 0167-7152

VL - 97

SP - 46

EP - 53

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

ER -

Likelihood ratio order of sample minimum from heterogeneous Weibull random variables

Abstract

Keywords

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