Reliability Estimates of Burr XII Components Using Masked Data under Progressive Type-II Censoring

Abstract:

We consider the series system with three independent and non-identical components, each of which has Burr XII distributed lifetime. Based on progressively type-II censored and masked system lifetime data, the maximum likelihood estimates (MLE) of the components parameters and reliability function are obtained. By introducing a latent variable, Bayesian estimators of the components parameters and the reliability function are also developed using Gibbs sampling method. Furthermore, in the numerical simulation study, the MLE and Bayesian estimates are compared under different removal probabilities and different times.

• Periodical: Applied Mechanics and Materials (Volume 551)
• Pages: 626-632
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.551.626
• Online since: May 2014
• Authors: Mo Chen, Yi Min Shi*, Li Jin
• Keywords: Burr XII Distribution, General Progressively Type-II Censoring, Gibbs Sampling, Latent Variables, Masked Data, Reliability Estimate

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