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The failure rate of a convolution dominates the failure rate of any IFR component

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  • Block, Henry W.
  • Savits, Thomas H.

Abstract

The failure rate of a convolution dominates, i.e., globally outperforms, the failure rate of any IFR component. An example is given to show this is not true for a DFR component.

Suggested Citation

  • Block, Henry W. & Savits, Thomas H., 2015. "The failure rate of a convolution dominates the failure rate of any IFR component," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 142-144.
    • Handle: RePEc:eee:stapro:v:107:y:2015:i:c:p:142-144
    DOI: 10.1016/j.spl.2015.07.034
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    References listed on IDEAS

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    1. Block, Henry W. & Langberg, Naftali A. & Savits, Thomas H., 2014. "The limiting failure rate for a convolution of gamma distributions," Statistics & Probability Letters, Elsevier, vol. 94(C), pages 176-180.
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