An alt proportional hazard-proportional odds model

T. Huang, E. A. Elsayed, T. Jiang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Scopus citations

Abstract

Accelerated life testing (ALT) is used to obtain failure data of products in a short time period and extrapolate the reliability of the products under normal operating conditions. Estimation of the reliability is based on models, which can be classified to parametric and non-parametric models. Non-parametric models are commonly used because of the distribution-free property. Proportional hazard model (PHM) and proportional odds model (POM) are two widely used non-parametric models for reliability prediction based on ALT data. These two models perform well if the underlying distributions are Weibull and log-logistic respectively. However, in some situations the test specimens may be obtained from a mixed population and using PHM or POM will result in inaccurate estimates of the reliability at normal operating conditions. In this paper, a proportional hazard-proportional odds (PH-PO) model is developed in order to obtain more accurate estimation for the failure time distributions of Weibull, log-logistic and a mixture of the two. This PH-PO model is based on a parameter family which makes PHM and POM special cases of the model. The performance of the PH-PO model is verified numerically using simulated data. The results show that in general the PH-PO model gives more accurate estimations of reliability.

Original languageEnglish (US)
Title of host publicationProceedings - 14th ISSAT International Conference on Reliability and Quality in Design
Pages39-43
Number of pages5
StatePublished - 2008
Event14th ISSAT International Conference on Reliability and Quality in Design - Orlando, FL, United States
Duration: Aug 7 2008Aug 9 2008

Publication series

NameProceedings - 14th ISSAT International Conference on Reliability and Quality in Design

Other

Other14th ISSAT International Conference on Reliability and Quality in Design
Country/TerritoryUnited States
CityOrlando, FL
Period8/7/088/9/08

All Science Journal Classification (ASJC) codes

  • Safety, Risk, Reliability and Quality

Keywords

  • Accelerated life testing
  • Parameter family
  • Proportional hazard model
  • Proportional odds model
  • Transformation parameter

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