Some results on discrete mixture failure rates

Ji Hwan Cha, Maxim Finkelstein

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

Some properties of the discrete mixture failure rates are studied. Specifically, similar to the continuous case, it is shown that the population mixture failure rate is always smaller than the unconditional expectation in the family of subpopulations failure rates. The analog of the multiplicative and the additive frailty models is introduced via the corresponding survival function. Another approach via the alternative discrete failure rate is also discussed. Stochastic comparisons for two mixed distributions with equal and different mixing distributions are studied.

Original languageEnglish
Pages (from-to)3884-3898
Number of pages15
JournalCommunications in Statistics - Theory and Methods
Volume48
Issue number15
DOIs
StatePublished - 3 Aug 2019

Bibliographical note

Funding Information:
The work of the first author was supported by Priority Research Centers Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2009-0093827). The work of the first author was also supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. 2016R1A2B2014211). The work of the second author was supported by the National Research Foundation (NRF) of South Africa, grant IFR2011040500026.

Publisher Copyright:
© 2018, © 2018 Taylor & Francis Group, LLC.

Keywords

  • Discrete mixture failure rate
  • multiplicative and additive frailty models
  • partial stochastic order
  • stochastic order of lifetimes

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