Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

A tampered failure rate model for step-stress accelerated life test

A tampered failure rate model for step-stress accelerated life test A statistical model for step-stress accelerated life test is motivated from the point of view that a change of the stress has a multiplicative effect on the failure rate function over the remaining life.Properties of the proposed model, including an interpretation in terms of the conditional reliability, and relationships with the existing models are discussed. For the parametric setting of a Weibull family representing the life distribution under a constant stress, maximum likelihood estimation of the parameters is investigated and the Fisher information matrix is derived. The proposed model is found to have certain analytical advantages over the cumulative exposure model that is commonly used in step-stress analysis. An extension of the model to include a regression structure and inferences for life under the use condition stress are briefly discussed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Communications in Statistics: Theory and Methods Taylor & Francis

A tampered failure rate model for step-stress accelerated life test

A tampered failure rate model for step-stress accelerated life test

Communications in Statistics: Theory and Methods , Volume 18 (5): 17 – Jan 1, 1989

Abstract

A statistical model for step-stress accelerated life test is motivated from the point of view that a change of the stress has a multiplicative effect on the failure rate function over the remaining life.Properties of the proposed model, including an interpretation in terms of the conditional reliability, and relationships with the existing models are discussed. For the parametric setting of a Weibull family representing the life distribution under a constant stress, maximum likelihood estimation of the parameters is investigated and the Fisher information matrix is derived. The proposed model is found to have certain analytical advantages over the cumulative exposure model that is commonly used in step-stress analysis. An extension of the model to include a regression structure and inferences for life under the use condition stress are briefly discussed.

Loading next page...
 
/lp/taylor-francis/a-tampered-failure-rate-model-for-step-stress-accelerated-life-test-kFRLlqs5gy

References (12)

Publisher
Taylor & Francis
Copyright
Copyright Taylor & Francis Group, LLC
ISSN
1532-415X
eISSN
0361-0926
DOI
10.1080/03610928908829990
Publisher site
See Article on Publisher Site

Abstract

A statistical model for step-stress accelerated life test is motivated from the point of view that a change of the stress has a multiplicative effect on the failure rate function over the remaining life.Properties of the proposed model, including an interpretation in terms of the conditional reliability, and relationships with the existing models are discussed. For the parametric setting of a Weibull family representing the life distribution under a constant stress, maximum likelihood estimation of the parameters is investigated and the Fisher information matrix is derived. The proposed model is found to have certain analytical advantages over the cumulative exposure model that is commonly used in step-stress analysis. An extension of the model to include a regression structure and inferences for life under the use condition stress are briefly discussed.

Journal

Communications in Statistics: Theory and MethodsTaylor & Francis

Published: Jan 1, 1989

Keywords: Weibull distribution; partial acceleration; maximum likelihood; Fisher information

There are no references for this article.