Statistical Analysis of Partially Step Stress Accelerated Life Tests for Compound Rayleigh Distribution Competing Failure Model Under Progressive Type-Ⅰ Hybrid Censoring
Under Type Ⅰ hybrid censoring,the statistical analysis of step stress partially accelerated life tests for compound Rayleigh distribution competing failure products is studied.Based on the compound Rayleigh distribution competing failure products and tampered failure rate(TFR)model,the maximum likelihood estimation and asymptotic confidence interval of unknown parameters and acceleration factors are given by using the maximum likelihood theory and asymptotic approximation theory.The prior information of the unknown parameters and acceleration factors is selected,and the Bayesian estimation and the highest posterior probability density confidence interval(HPD)of the unknown parameters and acceleration factors are obtained by using the MH sampling algorithm.Finally,the two estimation methods are compared by Monte Carlo simulation.The results indicate that Bayesian estimation overall outperforms maximum likelihood estimation(MLE).At the same confidence level,the length of HPD based on Bayes estimation is superior to that of the asymptotic confidence interval based on MLE.
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维普
