Statistical Properties of Weighted Shanker Distribution

نوع المستند : المقالات الأصلية

المؤلفون

Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt

المستخلص

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.

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