Preservation of stochastic orders for random minima and maxima, with applications

By Xiaohu Li, Ming Jian Zuo. 2004

53 citations recorded by the source corpus.

It is shown, in this note, that the right spread order and the increasing convex order are both preserved under the taking of random maxima, and the total time on test transform order and the increasing concave order are preserved under the taking of random minima. Some inequalities and preservation properties in reliability and economics are given as applications. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2004.

Subfields: Safety, Risk, Reliability and Quality, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/571a6c882652d6beb069dbdefe18efdf0615ddda

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In Safety, Risk, Reliability and Quality

In Statistics and Probability

Citations in the corpus

Marshall-Olkin generalized exponential distribution (2015, background): “In actuarial science, the claims received by an insurer in a certain time interval often make up of a sample of random size, and the largest claim amount is of chief interest there, see Li and Zuo (2004).”
Total Time on Test Transforms of Order n and Their Implications in Reliability Analysis (2008, methodology): “We refer the reader to Bergman and Klefsjö (1984), Bartoszewicz (1995), Haupt and Schabe (1997), Kochar et al. (2002), Li and Zou (2004), Ahmed et al. (2005), Li and Shaked (2007), Nanda and Shaked (2008), and the references therein for further details.”