ISSN:
1572-9249
Keywords:
carbon composite materials
;
cumulative damage
;
damage models
;
Fisher information
;
size effect
;
strength distributions
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1009649428243
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