scholarly journals Bayesian analysis of a constant-stress accelerated life testing with thermal aging life model under general progressive type-II censored data

2019 ◽  
Vol 23 (4) ◽  
pp. 2509-2516 ◽  
Author(s):  
Wei Cui ◽  
Xiu-Yun Peng ◽  
Zai-Zai Yan
Keyword(s):  
Thermal Aging ◽  
Accelerated Life Testing ◽  
Constant Stress ◽  
Accelerated Life Test ◽  
Type Ii ◽  
Accelerated Life ◽  
Progressive Type ◽  
Life Model ◽  
Type Ii Censored Data ◽  
Log Normal

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.

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.

scholarly journals Bayesian Estimation and Prediction Based on Constant Stress-Partially Accelerated Life Testing for Topp Leone-Inverted Kumaraswamy Distribution

2021 ◽  
pp. 11-36
Author(s):  
G. R. Al-Dayian ◽  
A. A. El-Helbawy ◽  
R. M. Refaey ◽  
S. M. Behairy
Keyword(s):  
Loss Function ◽  
Accelerated Life Testing ◽  
Constant Stress ◽  
Type Ii ◽  
Life Testing ◽  
Bayes Estimators ◽  
Kumaraswamy Distribution ◽  
Accelerated Life Tests ◽  
Accelerated Life ◽  
Life Tests

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.

scholarly journals Accelerated Life Test Sampling Plans under Progressive Type II Interval Censoring with Random Removals

2017 ◽  
Vol 7 (1) ◽  
pp. 26
Author(s):  
Siu Keung Tse ◽  
Chang Ding
Keyword(s):  
Numerical Study ◽  
Interval Censoring ◽  
Accelerated Life Test ◽  
Model Parameters ◽  
Type Ii ◽  
Life Test ◽  
Sampling Plans ◽  
Accelerated Life ◽  
Progressive Type ◽  
Stress Levels

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.

scholarly journals Bound lengths for Burr-XII distribution under step-stress PALT

2017 ◽  
Vol 5 (2) ◽  
pp. 135
Author(s):  
Gyan Prakash
Keyword(s):  
Simulated Data ◽  
Accelerated Life Test ◽  
Type Ii ◽  
Life Test ◽  
Unknown Parameters ◽  
Bayes Prediction ◽  
Accelerated Life ◽  
Progressive Type ◽  
Random Removal ◽  
Burr Type Xii

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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