Application of Mixture Models for Analyzing Reliability Data: A Case Study

Sabba Ruhi

doi:10.4236/oalib.1101815

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Open Access Library Journal > Vol.2 No.9, September 2015

Application of Mixture Models for Analyzing Reliability Data: A Case Study ()

Sabba Ruhi

Department of Mathematics, Pabna University of Science and Technology, Pabna, Bangladesh.

DOI: 10.4236/oalib.1101815 PDF HTML XML 672 Downloads 1,090 Views Citations

Abstract

Whenever purchasing durable goods, customers expect it to perform properly at least for a reasonable period of time. Over the last 30 years there has been a heightened interest in improving quality, productivity and reliability of manufactured products. As discussed by Murthy, Xie and Jiang, [1] analyzed “Aircraft windshield failure data” and fitted 2-fold Weibull mixture model for this data set. They estimated the model parameters from WPP plot. In this study, a set of competitive 2-fold mixture models (including Weibull, Exponential, Normal, Lognormal, Smallest extreme value distribution) are applied to find out the suitable statistical models. The data consist of both failure and censored lifetimes of the windshield. In the existing literature, there are many uses of mixture models for the complete data, but very limited literature available about it uses for the censored data case. Maximum likelihood estimation method is used to estimate the model parameters and the Akaike Information Criterion (AIC), Anderson-Darling (AD) and Adjusted Anderson Darling (AD*) test statistics are applied to select the suitable models among a set of competitive models. Various characteristics of the mixture models, such as the cumulative distribution function, reliability function, mean time to failure, B10 life, etc. are estimated to assess the reliability of the component.

Keywords

Case Study, Data Analysis, EM Algorithm, Mixture Model, Reliability

Share and Cite:

Ruhi, S. (2015) Application of Mixture Models for Analyzing Reliability Data: A Case Study. Open Access Library Journal, 2, 1-8. doi: 10.4236/oalib.1101815.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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