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The failure rate properties of a bimodal mixture of normal distributions in an unequal variance case


  • Liu, Fuxiang
  • Liu, Yanyan


The failure rate of the mixture of two normal distributions in an unequal variance case may have four changes in monotonicity. This work analyzes the conditions for which the four changes occur and others for which increasing failure rate and modified bathtub shape can be shown.

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  • Liu, Fuxiang & Liu, Yanyan, 2008. "The failure rate properties of a bimodal mixture of normal distributions in an unequal variance case," Statistics & Probability Letters, Elsevier, vol. 78(14), pages 2006-2009, October.
  • Handle: RePEc:eee:stapro:v:78:y:2008:i:14:p:2006-2009

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    References listed on IDEAS

    1. Block, Henry W. & Li, Yulin & Savits, Thomas H., 2005. "Mixtures of normal distributions: Modality and failure rate," Statistics & Probability Letters, Elsevier, vol. 74(3), pages 253-264, October.
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