JSM 2012 Home

JSM 2012 Online Program

The views expressed here are those of the individual authors and not necessarily those of the JSM sponsors, their officers, or their staff.

Online Program Home

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

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.

The address information is for the authors that have a + after their name.
Authors who are presenting talks have a * after their name.

Back to the full JSM 2012 program

2012 JSM Online Program Home

For information, contact jsm@amstat.org or phone (888) 231-3473.

If you have questions about the Continuing Education program, please contact the Education Department.