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Abstract Details

Activity Number: 18
Type: Topic Contributed
Date/Time: Sunday, July 29, 2012 : 2:00 PM to 3:50 PM
Sponsor: Quality and Productivity Section
Abstract - #304700
Title: Estimating a Parametric Lifetime Distribution from Superimposed Renewal Process Data
Author(s): Ye Tian*+ and William Q. Meeker
Companies: Iowa State University and Iowa State University
Address: 610 Squaw Creek Drive, Ames, IA, 50010, United States
Keywords: mean cumulative function ; reliability ; reparable systems ; lifetime distribution estimation ; NHPP
Abstract:

Maintenance data provides information about the reliability of systems and components. For reparable systems, a failed component will be replaced with a new one, which, in some cases, can be assumed to have the same life distribution as the old component. Estimation of the lifetime distribution is particularly complicated if there are multiple copies of a component in a system and information on exactly which component was replaced is not available. In such applications, the replacement history of a component from a fleet of systems forms a superposition of renewal processes (SRP). In this paper we describe an estimation method based on the renewal function and the nonhomogeneous Poisson process (NHPP). Simulations are used to evaluate the properties of the procedure.


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