Properties of a mean residual life function arising from renewal theory

Properties of a mean residual life function arising from renewal theory

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Article ID: iaor20103531
Volume: 57
Issue: 4
Start Page Number: 373
End Page Number: 379
Publication Date: Jun 2010
Journal: Naval Research Logistics
Authors: ,
Keywords: life cycle assessment, renewal processes
Abstract:

The present article discusses the properties of the mean residual life function in a renewal process. We examine the relationship this function has with the failure rate function and the conventional mean, variance and coefficient of variation of residual life. We also discuss some monotonicity properties of the mean residual life function. A partial order based on the renewal mean residual function is introduced along with its interrelationship with some existing stochastic orders.

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