Failure Models Indexed by Time and Usage

  • Simon P. Wilson
Part of the Statistics for Industry and Technology book series (SIT)


several problems in reliability require failure to be described by more than one scale, typically time to failure and some measure of usage. In this paper we describe several methods by which reliability models indexed by time and usage may be constructed. The constructions rely on many of the most well known methods in reliability, such as the failure rate, proportional hazards and accelerated life. We demonstrate, by means of examples, that tractable models can be constructed.

Keywords and phrases

Additive hazard gamma process multiple scales proportional hazards reliability 


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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Simon P. Wilson
    • 1
  1. 1.Trinity College DublinDublinIreland

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