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

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Publication:900937
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DOI10.1016/j.spl.2015.07.034zbMath1328.62571OpenAlexW1125171460MaRDI QIDQ900937

Henry W. Block, Thomas H. Savits

Publication date: 23 December 2015

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2015.07.034


zbMATH Keywords

reliabilityconvolutiondecreasing failure rateincreasing failure ratefailure rate functiongamma densities


Mathematics Subject Classification ID

Reliability and life testing (62N05)


Related Items (1)

Bounds for the hazard rate and the reversed hazard rate of the convolution of dependent random lifetimes



Cites Work

  • The limiting failure rate for a convolution of gamma distributions
  • Initial and final behaviour of failure rate functions for mixtures and systems
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