JSM 2004 - Toronto

Abstract #302103

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Activity Number: 189
Type: Contributed
Date/Time: Tuesday, August 10, 2004 : 8:30 AM to 10:20 AM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #302103
Title: Estimation for a Three-parameter Weibull Distribution with an Intuitive Parameterization
Author(s): Yi Han*+ and Mark Carpenter and Saeed Maghsoodloo
Companies: Auburn University and Auburn University and Auburn University
Address: 902 Linden Ave. Apt 6, Auburn, AL, 36832,
Keywords: Weibull distribution ; location parameters ; characteristic life ; maximum likelihood ; censoring ; bootstrapping
Abstract:

The literature is replete with theoretical and applied research on the Weibull distribution. As a result, this distribution has been proposed in a plethora of forms and parameterizations. We examine a three-parameter Weibull distribution with a shape parameter, a threshold/location parameter, and an uncommon scale parameterization. This parameterization yields a more intuitive model for the practitioner and may be more realistic in some reliability and survival applications. In application, the threshold parameter represents the minimum guaranteed lifetime, while our scale parameterization represents the characteristic life minus the threshold parameter. Estimators, including maximum likelihood estimators, are developed under complete and censored sampling assumptions. Asymptotic confidence intervals and bootstrapping algorithms are also proposed. Examples in engineering and medical research are included.

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