On relative ordering of mean residual lifetime functions
Some properties of the mean residual lifetime (MRL) functions are studied. The main focus is on relative characteristics. It is proved that under certain assumptions the relative hazard rate ordering leads to the corresponding ultimate MRL ordering. This result is applied to stochastic comparison of random variables, described by a baseline and mixture distributions, respectively.
Year of publication: |
2006
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Authors: | Finkelstein, Maxim |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 76.2006, 9, p. 939-944
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Publisher: |
Elsevier |
Keywords: | Mean residual life function Failure rate Mixture of distributions Relative mean residual life function Random environment |
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