Abstract
Consider a family of distributions with survival
distributions that are log concave and stochastically increasing
in a parameter over which it will be mixed. It is shown
that a necessary and sufficient condition for a mixture
over any such family to have an increasing failure rate
is that the mixing distribution have an increasing failure
rate. Some observations are given on generalizing this
result as well as weakening the conditions on Prekopa's
Theorem.
Publisher
Cambridge University Press (CUP)
Subject
Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability
Cited by
44 articles.
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