Statistical Properties of Weighted Shanker Distribution | ||
مجلة العلوم التجارية والبيئية | ||
Volume 1, Issue 1, October 2022, Pages 141-153 PDF (596.92 K) | ||
Document Type: المقالات الأصلية | ||
DOI: 10.21608/jcese.2022.269495 | ||
Authors | ||
Tamer S. Helal* ; Ahmed M. Elsehetry; Rasha S. Elshaarawy | ||
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 | ||
References | ||
| ||
Statistics Article View: 227 PDF Download: 365 |