A glaser twist: Focus on the mixture parameters

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

Research output: Contribution to journalArticlepeer-review


In this paper we introduce a variation on Glaser's method for determining the shape of the failure rate function of a mixture. It has often been seen that the shape of the failure rate depends on the mixing parameter q. Our method provides an explanation for this phenomenon. We then illustrate our technique with the mixture of an exponential and a gamma density for all possible cases.

Original languageEnglish
Pages (from-to)1144-1155
Number of pages12
JournalJournal of Applied Probability
Issue number4
StatePublished - Dec 2012


  • Bathtub failure rate
  • Failure rate function
  • Reliability

ASJC Scopus subject areas

  • Statistics and Probability
  • General Mathematics
  • Statistics, Probability and Uncertainty


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