Abstract
The main purpose of this paper is to obtain the inference of parameters of heterogeneous population represented by finite mixture of two Pareto (MTP) distributions of the second kind. The constant-partially accelerated life tests are applied based on progressively type-II censored samples. The maximum likelihood estimates (MLEs) for the considered parameters are obtained by solving the likelihood equations of the model parameters numerically. The Bayes estimators are obtained by using Markov chain Monte Carlo algorithm under the balanced squared error loss function. Based on Monte Carlo simulation, Bayes estimators are compared with their corresponding maximum likelihood estimators. The two-sample prediction technique is considered to derive Bayesian prediction bounds for future order statistics based on progressively type-II censored informative samples obtained from constant-partially accelerated life testing models. The informative and future samples are assumed to be obtained from the same population. The coverage probabilities and the average interval lengths of the confidence intervals are computed via a Monte Carlo simulation to investigate the procedure of the prediction intervals. Analysis of a simulated data set has also been presented for illustrative purposes. Finally, comparisons are made between Bayesian and maximum likelihood estimators via a Monte Carlo simulation study.
Highlights
The progressive Type-II censoring is of great importance in planning duration experiments in reliability studies
It has been shown by [53] that the inference is possible and practical when the sample data are gathered according to a progressive Type-II censored scheme
This paper dealt with the constant partially accelerated life test (PALT) in the case of progressive Type II censoring
Summary
Accelerated life tests (ALTs) are used to obtain information quickly on the life-. M. AL-Zaydi 324 time distribution of materials or products. The test units are run at higher-thanusual levels of stress to induce early failures. A model relating life length to stress is fitted to the accelerated failure times and extrapolated to estimate the failure time distribution under the normal use condition. ALTs are preferred to be used in manufacturing industries to obtain enough failure data, in a short period of time, necessary to make inferences regarding its relationship with external stress variables
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