A mixture of exponential and ifr gamma distributions having an upsidedown bathtub-shaped failure rate

Henry W. Block, Naftali A. Langberg, Thomas H. Savits

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a mixture of one exponential distribution and one gamma distribution with increasing failure rate. For the right choice of parameters, it is shown that its failure rate has an upsidedown bathtub shape failure rate. We also consider a mixture of a family of exponentials and a family of gamma distributions and obtain a similar result.

Original languageEnglish
Pages (from-to)573-580
Number of pages8
JournalProbability in the Engineering and Informational Sciences
Volume26
Issue number4
DOIs
StatePublished - Oct 2012

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering

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