Log-concavity of a mixture of beta distributions

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We provide a sufficient condition for a mixture of Beta distributions to have log-concave density. This is true whenever the Beta distributions to be mixed together have constant parameter sum and the mixing weights are themselves log-concave. The result has applications in economics and statistics, which we present in the last section.

Original languageEnglish (US)
Pages (from-to)125-130
Number of pages6
JournalStatistics and Probability Letters
StatePublished - Apr 1 2015
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


  • Log-concavity
  • Mixture models
  • Reliability theory


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