New survival distributions that quantify the gain from eliminating flawed components

Baker, RD ORCID: https://orcid.org/0000-0003-3555-3425 2019, 'New survival distributions that quantify the gain from eliminating flawed components' , Reliability Engineering & System Safety, 185 (May 19) , pp. 493-501.

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Abstract

A general method for deriving new survival distributions from old is presented. This yields a class of useful mixture distributions. Fitting such distributions to failure-time data allows estimation of the improvement in reliability that could be gained from eliminating ‘frail’ components. One model parameter is the proportional increase of expected survival time that could be achieved. Some 2 and 3 parameter distributions in this class are described, which are extensions of the Weibull, exponential, gamma and lognormal distributions. The methodology is illustrated by fitting some well travelled datasets.

Keywords: Weibull distribution, gamma distribution, mixture distribution, hazard function, partial integration, frailty model

Item Type: Article
Schools: Schools > Salford Business School
Journal or Publication Title: Reliability Engineering & System Safety
Publisher: Elsevier
ISSN: 0951-8320
Related URLs:
Depositing User: Prof Rose Dawn Baker
Date Deposited: 11 Jan 2019 14:45
Last Modified: 11 Jan 2020 08:00
URI: http://usir.salford.ac.uk/id/eprint/49702

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