Statistical Properties of Weighted Shanker Distribution
Helal, T., Elsehetry, A., Elshaarawy, R. (2022). Statistical Properties of Weighted Shanker Distribution. EKB Journal Management System, 1(1), 141-153. doi: 10.21608/jcese.2022.269495
Tamer S. Helal; Ahmed M. Elsehetry; Rasha S. Elshaarawy. "Statistical Properties of Weighted Shanker Distribution". EKB Journal Management System, 1, 1, 2022, 141-153. doi: 10.21608/jcese.2022.269495
Helal, T., Elsehetry, A., Elshaarawy, R. (2022). 'Statistical Properties of Weighted Shanker Distribution', EKB Journal Management System, 1(1), pp. 141-153. doi: 10.21608/jcese.2022.269495
Helal, T., Elsehetry, A., Elshaarawy, R. Statistical Properties of Weighted Shanker Distribution. EKB Journal Management System, 2022; 1(1): 141-153. doi: 10.21608/jcese.2022.269495

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
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