Some results about MIT order and IMIT class of life distributions

Xiaohu Li, Maochao Xu

Research output: Contribution to journalArticlepeer-review

37 Scopus citations

Abstract

We investigate some new properties of mean inactivity time (MIT) order and increasing MIT (IMIT) class of life distributions. The preservation property of MIT order under increasing and concave transformations, reversed preservation properties of MIT order, and IMIT class of life distributions under the taking of maximum are developed. Based on the residual life at a random time and the excess lifetime in a renewal process, stochastic comparisons of both IMIT and decreasing mean residual life distributions are conducted as well.

Original languageEnglish
Pages (from-to)481-496
Number of pages16
JournalProbability in the Engineering and Informational Sciences
Volume20
Issue number3
DOIs
StatePublished - Jul 2006

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