A Stochastic Justification of Some Simple Reliability Models by
نویسندگان
چکیده
In this paper we give conditions on the internal wear process under which the resulting time to failure model will be of the simple collapsible form Oakes Duchesne and Lawless when the usage accumulation history is available We suppose that failure occurs when internal wear crosses a certain threshold and or a trau matic event causes the item to fail Cox and Bagdonavi cius and Nikulin We model the in nitesimal increment in internal wear as a function of time accumulated internal wear and usage history and we derive conditions on this function to get a collapsible model for the conditional distribution of time to failure given the usage history
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