Analysis of Reliability in a Multicomponent Stress-Strength Model for Lomax Distribution under Progressive type-Ⅱ Hybrid Censoring
Based on progressive type-Ⅱ hybrid samples,the reliability analysis of Lomax distributed multicomponent stress-strength model is studied.Assuming that stress and strength have the same scale parameters and different shape parameters,the maximum likelihood estimation of the reliability function is obtained by using the maximum likelihood theory and the iterative method when the scale parameters are unknown and the asymptotic confidence interval is given.By using Bayesian theory,Tierney Kadane(TK)approximation method and MCMC algorithm,the Bayesian estimation of unknown parameters and reliability under the square error loss function is discussed,and the maximum a posteriori density confidence interval(HPD)is given.Finally,Monte-Carlo simulation method is used to compare and analyze the estimated results.The simulation results show that the Bayesian estimation is better than the maximum likelihood estimation on the whole,and the mean square error(MSE)of the two estimates decreases gradually with the increase of the sample,and the effect of(HPD)confidence interval is better than the asymptotic confidence interval.
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