Dependent Relevations: Time-to-Failure Under Dependence

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Abstract
Krakowski (1973) introduced the concept of the relevation, which is the conditional distribution of a random variable X2, given that it exceeds an independent random variable X1. This is relevant to failure time distributions when replacement is made from an aging stock. We develop analysis appropriate to relevation for dependent variables, and suggest it might be relevant if there is batch-to-batch variation, producing association between lifetimes of initial and replacement components.

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