Estimation of Lindley constant-stress model via product of spacing with Type-II censored accelerated life data

Author(s):  
Mazen Nassar ◽  
Sanku Dey ◽  
Liang Wang ◽  
Ahmed Elshahhat
2019 ◽  
Vol 23 (4) ◽  
pp. 2509-2516 ◽  
Author(s):  
Wei Cui ◽  
Xiu-Yun Peng ◽  
Zai-Zai Yan

This paper discusses the parameter estimation by Bayesian method when the thermal aging lifetime follows the log-normal distribution and the sample is a general progressive type-II censoring from a constant-stress accelerated life test. The Bayes estimates cannot be obtained in an inexplicit form, and an approximate one is solved by the hybrid Markov chain Monte-Carlo method. The thermal aging life data are presented to illustrate proposed method.


Author(s):  
G. R. Al-Dayian ◽  
A. A. El-Helbawy ◽  
R. M. Refaey ◽  
S. M. Behairy

Accelerated life testing or partially accelerated life tests is very important in life testing experiments because it saves time and cost. Partially accelerated life tests are used when the data obtained from accelerated life tests cannot be extrapolated to usual conditions. This paper proposes, constant–stress partially accelerated life test using Type II censored samples, assuming that the lifetime of items under usual condition have the Topp Leone-inverted Kumaraswamy distribution. The Bayes estimators for the parameters, acceleration factor, reliability and hazard rate function are obtained. Bayes estimators based on informative priors is derived under the balanced square error loss function as a symmetric loss function and balanced linear exponential loss function as an asymmetric loss function. Also, Bayesian prediction (point and bounds) is considered for a future observation based on Type-II censored under two samples prediction. Numerical studies are given and some interesting comparisons are presented to illustrate the theoretical results. Moreover, the results are applied to real data sets.


2013 ◽  
Vol 712-715 ◽  
pp. 2080-2083 ◽  
Author(s):  
Yi Min Shi ◽  
Li Jin ◽  
Chao Wei ◽  
Hong Bo Yue

In this paper, we consider a constant-stress accelerated life test with competing risks for failure from exponential distribution under progressive type-II hybrid censoring. We derive the maximum likelihood estimator and Bayes estimator of the parameter and prove their equivalence under certain circumstances. Further study of the estimators indicates that missing of failure modes would result in overestimation of the mean lifetime. Finally, a Monte-Carlo simulation is performed to demonstrate the accuracy and effectiveness of the estimators.


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