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Bondesson's functions in reliability theory

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  • William E. Stein
  • Ronald Dattero

Abstract

Bondesson's functions in reliability theory are shown to be related to a recursive sequence of probability distributions. These are the ‘higher‐order’ versions of the mean remaining lifetime in an equilibrium renewal process. Based on these functions, classes of distribution functions can be defined. This paper will investigate these classes and place Bondesson's work in the content of the other work done in reliability theory. Connections are made with the decreasing variance residual lifetime class and stochastic ordering. Copyright © 1999 John Wiley & Sons, Ltd.

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  • William E. Stein & Ronald Dattero, 1999. "Bondesson's functions in reliability theory," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 15(2), pages 103-109, April.
    • Handle: RePEc:wly:apsmbi:v:15:y:1999:i:2:p:103-109
    DOI: 10.1002/(SICI)1526-4025(199904/06)15:23.0.CO;2-C
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    Cited by:

    1. N. Unnikrishnan Nair & P.G. Sankaran, 2010. "Properties of a mean residual life function arising from renewal theory," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(4), pages 373-379, June.

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