Different Estimation Methods for Constant Stress Accelerated Life Test under the Family of the Exponentiated Distributions

2015 ◽  
Vol 32 (3) ◽  
pp. 1095-1108 ◽  
Author(s):  
Abdallah A. Abdel Ghaly ◽  
Hanan M. Aly ◽  
Rana N. Salah
2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Abdalla Rabie ◽  
Abd-EL-Baset A. Ahmad ◽  
Thierno Souleymane Barry ◽  
Hassan M. Aljohani ◽  
Nada M. Alfaer ◽  
...  

In this paper, the exponentiated gamma distribution (EGD) with generalized Type-I hybrid censored data under constant-stress partially accelerated life test (CSPALT) model is considered. The Bayesian and E-Bayesian estimation methods, as well as the maximum likelihood estimation method, are discussed for the parameter of the distribution and the acceleration factor. The E-Bayesian and Bayesian estimates are derived by using the squared error loss (SEL) and the LINEX loss functions. The MCMC method is applied for deriving the Bayesian and then E-Bayesian estimates. Moreover, a real data set is given for the illustrative purpose. After all, an evaluation is performed for the results of the proposed methods.


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