scholarly journals Inference for Step-Stress Partially Accelerated Life Test Model with an Adaptive Type-I Progressively Hybrid Censored Data

2021 ◽  
Vol 19 (1) ◽  
pp. 2-20
Author(s):  
Showkat Ahmad Lone ◽  
Ahmadur Rahman ◽  
Tanveer A. Tarray
Keyword(s):  
Rayleigh Distribution ◽  
Accelerated Life Test ◽  
Model Parameters ◽  
Type I ◽  
Test Model ◽  
Hybrid Censoring ◽  
Accelerated Life Tests ◽  
Accelerated Life ◽  
Life Tests ◽  
Maximum Likelihood Estimations

Consider estimating data of failure times under step-stress partially accelerated life tests based on adaptive Type-I hybrid censoring. The mathematical model related to the lifetime of the test units is assumed to follow Rayleigh distribution. The point and interval maximum-likelihood estimations are obtained for distribution parameter and tampering coefficient. Also, the work is conducted under a traditional Type-I hybrid censoring plan (scheme). A Monte Carlo simulation algorithm is used to evaluate and compare the performances of the estimators of the tempering coefficient and model parameters under both progressively hybrid censoring plans. The comparison is carried out on the basis of mean squared errors and bias.

Inference for Burr-XII Masked System Lifetime Data in Step-Stress Partially Accelerated Life Test with Type-I Progressive Hybrid Censoring

2014 ◽  
Vol 687-691 ◽  
pp. 1015-1018 ◽  
Author(s):  
Jing Cai ◽  
Yi Min Shi ◽  
Hong Bo Yue
Keyword(s):  
Bootstrap Method ◽  
Parametric Bootstrap ◽  
Accelerated Life Test ◽  
Model Parameters ◽  
Type I ◽  
Accelerated Life Tests ◽  
Accelerated Life ◽  
Asymptotic Confidence Intervals ◽  
Life Tests ◽  
System Lifetime Data

This article considers a step-stress partially accelerated life tests for series system model where independent and non-identical Burr XII-distributed lifetimes are assumed for the components. Based on Type-I progressive hybrid censored and masked data, expectation maximum algorithm combined with auxiliary variables is developed for estimating the model parameters and the acceleration factor. In addition, the asymptotic confidence intervals are constructed by the parametric bootstrap method. Furthermore, the proposed method is illustrated through a simulation study under various masking levels.

scholarly journals Estimation of Constant Stress Partially Accelerated Life Test for Fréchet Distribution with Type-I Censoring

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Abdullah Ali H. Ahmadini ◽  
Wali Khan Mashwani ◽  
Rehman Ahmad Khan Sherwani ◽  
Shokrya S. Alshqaq ◽  
Farrukh Jamal ◽  
...  
Keyword(s):  
Constant Stress ◽  
Accelerated Life Test ◽  
Likelihood Method ◽  
Type I ◽  
Type I Censoring ◽  
Fréchet Distribution ◽  
Accelerated Life Tests ◽  
Accelerated Life ◽  
Life Tests ◽  
Frechet Distribution

Modern reliability engineering accelerated life tests (ALT) and partially accelerated life tests (PALT) are widely used to obtain the timely information on the reliability of objects, products, elements, and materials as well as to save time and cost. The ALTs or PALTs are useful in determining the failed manners of the items at routine conditions by using the information of the data generated from the experiment. PALT is the most sensible method to be used for estimating both ordinary and ALTs. In this research, constant stress PALT design for the Fréchet distribution with type-I censoring has been investigated due to a wide applicability of the Fréchet distribution in engineering problems especially in hydrology. The distribution parameters and acceleration factor are obtained by using the maximum likelihood method. Fisher's information matrix is used to develop the asymptotic confidence interval estimates of the model parameters. A simulation study is conducted to illustrate the statistical properties of the parameters and the confidence intervals by using the R software. The results indicated that the constant stress PALT plan works well. Moreover, a numerical example is given to exemplify the performance of the proposed methods.

scholarly journals Estimation in Step-Stress Accelerated Life Tests for Power Generalized Weibull Distribution with Progressive Censoring

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
M. M. Mohie EL-Din ◽  
S. E. Abu-Youssef ◽  
Nahed S. A. Ali ◽  
A. M. Abd El-Raheem
Keyword(s):  
Weibull Distribution ◽  
Asymptotic Variance ◽  
Acceleration Factor ◽  
Accelerated Life Test ◽  
Maximum Likelihood Estimates ◽  
Model Parameters ◽  
Progressive Censoring ◽  
Accelerated Life Tests ◽  
Accelerated Life ◽  
Life Tests

Based on progressive censoring, step-stress partially accelerated life tests are considered when the lifetime of a product follows power generalized Weibull distribution. The maximum likelihood estimates (MLEs) and Bayes estimates (BEs) are obtained for the distribution parameters and the acceleration factor. In addition, the approximate and bootstrap confidence intervals (CIs) of the estimators are presented. Furthermore, the optimal stress change time for the step-stress partially accelerated life test is determined by minimizing the asymptotic variance of MLEs of the model parameters and the acceleration factor. Simulation results are carried out to study the precision of the MLEs and BEs for the parameters involved.

Inference on constant stress accelerated life tests for log-location-scale lifetime distributions with type-I hybrid censoring

2019 ◽  
Vol 89 (4) ◽  
pp. 720-749 ◽  
Author(s):  
Chien-Tai Lin ◽  
Yao-Yu Hsu ◽  
Siao-Yu Lee ◽  
N. Balakrishnan
Keyword(s):  
Constant Stress ◽  
Type I ◽  
Lifetime Distributions ◽  
Hybrid Censoring ◽  
Accelerated Life Tests ◽  
Accelerated Life ◽  
Life Tests

scholarly journals Estimating and Planning Accelerated Life Test Using Constant Stress for Generalized Logistic Distribution under Type-I Censoring

2011 ◽  
Vol 2011 ◽  
pp. 1-15
Author(s):  
A. F. Attia ◽  
H. M. Aly ◽  
S. O. Bleed
Keyword(s):  
Scale Parameter ◽  
Constant Stress ◽  
Accelerated Life Test ◽  
Logistic Distribution ◽  
Type I ◽  
Type I Censoring ◽  
Accelerated Life Tests ◽  
Generalized Logistic Distribution ◽  
Accelerated Life ◽  
Life Tests

The optimal designs and statistical inference of accelerated life tests under type-I are studied for constant stress-accelerated life tests (CSALTs). It is assumed that the lifetime at design stress has generalized logistic distribution. The scale parameter of the lifetime distribution at constant stress levels is assumed to be an inverse power law function of the stress level. The maximum likelihood (ML) estimators of the model parameters, Fisher information matrix, the asymptomatic variance-covariance matrix, the confidence bounds, the predictive value of the scale parameter, and the reliability function under the usual conditions are obtained under type-I censoring. Moreover, the optimal design of the accelerated life tests is studied according to the D-optimality criterion to specify the optimal censoring time. Finally, the numerical studies are introduced to illustrate the proposed procedures.

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