Monotone failure rates for multivariate distributions
- 1 December 1977
- journal article
- Published by Wiley in Naval Research Logistics Quarterly
- Vol. 24 (4) , 627-637
- https://doi.org/10.1002/nav.3800240410
Abstract
It is shown that the monotone multivariate failure rates of Brindley and Thompson have no natural analog involving the multivariate failure rate function of Basu for absolutely continuous distributions. Quantities related to the multivariate failure rate function are used to define monotone failure rates. It is shown that these are equivalent to the monotone failure rates of Brindley and Thompson. Based on these quantities, the loss of memory property of Marshall and Olkin is characterized.Keywords
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