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, Pages 163-171 PDF (5.41 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.2001.313812 | ||
| Authors | ||
| A. F. Attia* 1; H. M. Aly2; E. A. El-Dessouky3 | ||
| 1Institute of Statistical Studies & Research, Cairo University, Egypt | ||
| 2Faculty of Econoic & Political Science, Cairo University, Egypt | ||
| 3Faculty of Commerce, Al-Azhar University, Egypt | ||
| 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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