Representation of Distributions Having Monotone or Bathtub-Shaped Failure Rates

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14 Scopus citations


This paper examines the relationship between 1) distributions which have monotonic or bathtub shaped failure rates and 2) the exponential distribution. A method of representing random variables having monotonic or bathtub-shaped failure rate functions as transformations of the exponential and uniform distribution is given. These distributions can thus be simulated using a random number generator. A further application to the mathematical theory could be made by using such transformations of multivariate distributions to define various multivariate nonparametric classes of life distributions.

Original languageEnglish
Pages (from-to)95-96
Number of pages2
JournalIEEE Transactions on Reliability
Issue number1
StatePublished - Apr 1982


  • Bathtub shaped failure rate
  • Monotone failure rate
  • Simulation

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Electrical and Electronic Engineering


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