Bondesson's functions in reliability theory |
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| Authors: | William E Stein Ronald Dattero |
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| Institution: | Department of Information Technology and Operations Management, Florida Atlantic University, Boca Raton, FL 33431, U.S.A. |
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| 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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| Keywords: | reliability theory mean remaining lifetime decreasing variance residual lifetime stochastic orders renewal process |
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