Convex transform order of the maximum of independent Weibull random variables

Jintang Wu, Mengshou Wang, Xiaohu Li

Research output: Contribution to journalArticle

Abstract

The convex transform order on the maximum of independent heterogeneous Weibull distributions with shape parameters less than 1 is built. Together with Theorem 3.2 of Balakrishnan et al. (2018a,b), this outcome enriches the ordering results of Weibull distributions.

Original languageEnglish (US)
Article number108597
JournalStatistics and Probability Letters
Volume156
DOIs
StatePublished - Jan 1 2020

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Weibull Distribution
Weibull
Random variable
Transform
Shape Parameter
Theorem
Weibull distribution
Random variables

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

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title = "Convex transform order of the maximum of independent Weibull random variables",
abstract = "The convex transform order on the maximum of independent heterogeneous Weibull distributions with shape parameters less than 1 is built. Together with Theorem 3.2 of Balakrishnan et al. (2018a,b), this outcome enriches the ordering results of Weibull distributions.",
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Convex transform order of the maximum of independent Weibull random variables. / Wu, Jintang; Wang, Mengshou; Li, Xiaohu.

In: Statistics and Probability Letters, Vol. 156, 108597, 01.01.2020.

Research output: Contribution to journalArticle

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