COMPARATIVE ESTIMATION METHODS FOR EXPONENTIATED WEIBULL DISTRIBUTION | ||||
| المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر | ||||
| Article 15, Volume 7, Issue 2, 2010, Page 1-27 PDF (5.81 MB) | ||||
| Document Type: المقالة الأصلية | ||||
| DOI: 10.21608/jsfc.2010.25690 | ||||
 View on SCiNiTO | ||||
| Author | ||||
| Salwa Abd El-Aty | ||||
| Salwa Abd El-Aty Jumana Ahmed Department of Statistics, Faculty of Commerce, Al-Azhar University (Girls’ Branch) Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia | ||||
| Abstract | ||||
| The exponentiated Weibull (EW) distribution was introduced by Mudholkar and Srivastava(1993). This distribution is involving additional parameter to the Weibull distribution. In this paper, we mainly estimate the three parameters of the exponentiated Weibull distribution using different methods of estimation such as: maximum likelihood method, method of moments, percentile estimation and least squares method. A comparison is performed based on variances, relative absolute biases, relative absolute estimate of risks and total deviation. The moment estimators are found to be appropriate than other methods. In addition, the sampling distributions of the moment estimators are obtained. A simulation study and concluding remarks are introduced. | ||||
Highlights | ||||
Exponentiated Weibull distribution, Maximum likelihood estimators, Moment estimators, Percentile estimators, Least squares estimators, Total deviation, Sampling distribution. | ||||
| Keywords | ||||
| Exponentiated Weibull distribution; Maximum likelihood estimators; Moment estimators; Percentile estimators; Least squares estimators; Total deviation; Sampling distribution | ||||
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