Optimal sample size allocation for accelerated life test under progressive type-II censoring with competing risks

2016 ◽  
Vol 87 (1) ◽  
pp. 1-16 ◽  
Author(s):  
Syuan-Rong Huang ◽  
Shuo-Jye Wu
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.


2017 ◽  
Vol 7 (1) ◽  
pp. 26
Author(s):  
Siu Keung Tse ◽  
Chang Ding

This paper investigates the design of accelerated life test (ALT) sampling plans under progressive Type II interval censoring with random removals. For ALT sampling plans with two over-stress levels, the optimal stress levels and the allocation proportions to them are obtained by minimizing the asymptotic generalized variance of the maximum likelihood estimation of model parameters. The required sample size and the acceptability constant which satisfy given levels of producer’s risk and consumer’s risk are found. ALT sampling plans with three over-stress levels are also considered under some specific settings. The properties of the derived ALT sampling plans under different parameter values are investigated by a numerical study. Some interesting patterns, which can provide useful insight to practitioners in related areas, are found. The true acceptance probabilities are computed using a Monte Carlo simulation and the results show that the accuracy of the derived ALT sampling plans is satisfactory. A numerical example is also provided for illustrative purpose.


2017 ◽  
Vol 5 (2) ◽  
pp. 135
Author(s):  
Gyan Prakash

Some inferences based on Step-Stress Partially Accelerated Life Test (SS-PALT) are discussed in the present article. The Progressive Type-II censoring criterion with Random Removal scheme is used for determining the Approximate Confidence Lengths and One-Sample Bayes Prediction Bound Lengths for the unknown parameters of the Burr Type-XII distribution. Based on the simulated data, the analysis of the present discussion has been carried out.


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