Accelerated Test Models for System Strength Based on Birnbaum-Saunders Distributions

Authors: Owen W.J.¹; Padgett W.J.²

Source: Lifetime Data Analysis, Volume 5, Number 2, June 1999 , pp. 133-147(15)

Publisher: Springer

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Abstract:

Recent research in cumulative damage models for strengths of systems has yielded various statistical distributions that incorporate a system size variable and follow a generalized Birnbaum-Saunders form. These models can be unified as a three-parameter Birnbaum-Saunders-type family of distributions, where the third parameter arises from the size variable through the cumulative damage approach. In this paper, the generalized three-parameter Birnbaum-Saunders distribution is characterized, and examples of cumulative damage models for system strength that fit this form are given. Also, estimation and asymptotic theory are developed for the generalized distribution, and illustrations are presented for experimental strength data for carbon composite materials.

Keywords: carbon composite materials; cumulative damage; damage models; Fisher information; size effect; strength distributions

Language: English

Document Type: Regular paper

Affiliations: 1: Department of Mathematics, University of New Hampshire, Durham, NH 03824 2: Department of Statistics, University of South Carolina, Columbia, SC 29208

Publication date: 1999-06-01