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.
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. The Egyptian Statistical Journal, 45(2), 163-171. doi: 10.21608/esju.2001.313812
MLA
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", The Egyptian Statistical Journal, 45, 2, 2001, 163-171. doi: 10.21608/esju.2001.313812
HARVARD
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', The Egyptian Statistical Journal, 45(2), pp. 163-171. doi: 10.21608/esju.2001.313812
VANCOUVER
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. The Egyptian Statistical Journal, 2001; 45(2): 163-171. doi: 10.21608/esju.2001.313812
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