Estimation for the Parameters of Log-Logistic Distribution and the Reliability Function Using Accelerated Life Testing with Type-II Censoring
Attia, A., Aly, H., El-Dessouky, E. (2001). Estimation for the Parameters of Log-Logistic Distribution and the Reliability Function Using Accelerated Life Testing with Type-II Censoring. EKB Journal Management System, 45(2), 163-171. doi: 10.21608/esju.2001.313812
A. F. Attia; H. M. Aly; E. A. El-Dessouky. "Estimation for the Parameters of Log-Logistic Distribution and the Reliability Function Using Accelerated Life Testing with Type-II Censoring". EKB Journal Management System, 45, 2, 2001, 163-171. doi: 10.21608/esju.2001.313812
Attia, A., Aly, H., El-Dessouky, E. (2001). 'Estimation for the Parameters of Log-Logistic Distribution and the Reliability Function Using Accelerated Life Testing with Type-II Censoring', EKB Journal Management System, 45(2), pp. 163-171. doi: 10.21608/esju.2001.313812
Attia, A., Aly, H., El-Dessouky, E. Estimation for the Parameters of Log-Logistic Distribution and the Reliability Function Using Accelerated Life Testing with Type-II Censoring. EKB Journal Management System, 2001; 45(2): 163-171. doi: 10.21608/esju.2001.313812

Estimation for the Parameters of Log-Logistic Distribution and the Reliability Function Using Accelerated Life Testing with Type-II Censoring

The Egyptian Statistical Journal
Article 4, Volume 45, Issue 2, December 2001, Page 163-171  XML PDF (5.41 MB)
Document Type: Original Article
DOI: 10.21608/esju.2001.313812
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Authors
A. F. Attia* 1; H. M. Aly* 2; E. A. El-Dessouky* 3
1Institute of Statistical Studies & Research, Cairo University
2Faculty of Econoic & Political Science, Cairo University
3Faculty of Commerce, Al-Azhar University
Abstract
In this paper, we assume that the time to failure has Log-Logistic Distribution (LLD) with two unknown parameters, whose shape parameter is affected by a certain stress through the power rule model. Maximum likelihood estimates for the unknown parameters of the power rule model and the scale parameter of LLD are obtained using type-II censored data. The Newton-Raphson method is used for solving the non-linear normal equations, we estimate the reliability function under normal conditions where the experiments are subjected to type-II censored, a numerical example is given to illustrate the theoretical results.
 
Keywords
Accelerated Life Tests; Power Rule Model; Log; Logistic Distribution; Maximum Likelihood Estimation
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