Inference for Constant-Stress Partially Accelerated Life Test Model with Progressive Type-II Censoring Scheme

2017 ◽  
Vol 6 (2) ◽  
pp. 373-383 ◽  
Author(s):  
Mohamed A. W. Mahmoud ◽  
Rashad M. EL-Sagheer ◽  
Heba Nagaty
Keyword(s):  
Constant Stress ◽  
Accelerated Life Test ◽  
Test Model ◽  
Type Ii ◽  
Life Test ◽  
Type Ii Censoring ◽  
Accelerated Life ◽  
Progressive Type ◽  
Censoring Scheme ◽  
Progressive Type Ii Censoring

scholarly journals Accelerated competing risks model from Gompertz lifetime distributions with type-II censoring scheme

2020 ◽  
Vol 24 (Suppl. 1) ◽  
pp. 165-175
Author(s):  
Abdullah Almarashi ◽  
Gamal Abd-Elmougod
Keyword(s):  
Accelerated Life Test ◽  
Likelihood Method ◽  
Model Parameters ◽  
Test Model ◽  
Time To Failure ◽  
Type Ii ◽  
Type Ii Censoring ◽  
Accelerated Life ◽  
Interval Estimators ◽  
Censoring Scheme

Time to failure under normal stress conditions may take a long period of time and statistical inferences under this condition is more serious. Then, the experiment is loaded under stress higher than normal one which is defined as accelerated life tests. This problem in this paper is discussed in the form of partially step-stress accelerated life test model when the lifetime of the product has Gompertz lifetime distribution and unites are fails under the two independent risks. The maximum likelihood method under type-II censoring scheme is used to formulate the point and asymptotic confidence interval estimators of model parameters. The two boot?strap methods are also used to formulate the point and approximate interval estimators. The numerical results are adopted in the form of Monte Carlo studying to illustrate, assess and compare all of the theoretical results. Finally, results are discussed in points to clarify results validity.

Constant-Stress Accelerated Life Test with Competing Risks under Progressive Type-II Hybrid Censoring

2013 ◽  
Vol 712-715 ◽  
pp. 2080-2083 ◽  
Author(s):  
Yi Min Shi ◽  
Li Jin ◽  
Chao Wei ◽  
Hong Bo Yue
Keyword(s):  
Competing Risks ◽  
Failure Modes ◽  
Constant Stress ◽  
Accelerated Life Test ◽  
Type Ii ◽  
Life Test ◽  
Hybrid Censoring ◽  
Accelerated Life ◽  
Progressive Type ◽  
Mean Lifetime

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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