Optimal Plans and Estimation of Constant-Stress Accelerated Life Tests for the Extension of the Exponential Distribution under Type-I Censoring

2018 ◽  
Vol 47 (5) ◽  
pp. 20170553 ◽  
Author(s):  
A. M. Abd El-Raheem
Keyword(s):  
Exponential Distribution ◽  
Constant Stress ◽  
Type I ◽  
Type I Censoring ◽  
Accelerated Life Tests ◽  
Accelerated Life ◽  
Life Tests

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 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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