Statistical Properties of Weighted Shanker Distribution | ||||
| مجلة العلوم التجارية والبيئية | ||||
| Volume 1, Issue 1, October 2022, Page 141-153 PDF (596.92 K) | ||||
| Document Type: المقالة الأصلية | ||||
| DOI: 10.21608/jcese.2022.269495 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
Tamer S. Helal  ; Ahmed M. Elsehetry; Rasha S. Elshaarawy
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| Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt | ||||
| Abstract | ||||
| In this article we introduce and investigate the weighted Shanker distribution, a weighted version of Shanker's (2015) Shanker distribution. To obtain the form of the weighted Shanker distribution, which is shown as a generalization of the Shanker distribution, a special non-negative weight function is considered. The statistical properties of the weighted Shanker distribution are investigated. We propose a maximum likelihood method for estimating the weighted version's unknown parameter. To observe the pattern of estimates for different sample sizes, a sample generation algorithm and a Monte Carlo simulation study are prepared. | ||||
| Keywords | ||||
| Weighted Distributions; Maximum Likelihood Estimation; Shanker Distribution; Survival function; Hazard rate function | ||||
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