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:: Volume 17, Issue 1 (8-2020) ::
JSRI 2020, 17(1): 95-111 Back to browse issues page
Power Normal-Geometric Distribution: Model, Properties and Applications
Hamed Mahmoodian
Meybod University , hamed_ mahmoodian@yahoo.com
Abstract:   (324 Views)
In this paper, we introduce a new skewed distribution of which normal and power normal distributions are two special cases. This distribution is obtained by taking geometric maximum of independent identically distributed power normal random variables. We call this distribution as the power normal--geometric distribution. Some mathematical properties of the new distribution are presented. Maximum likelihood estimates of parameters are obtained via an EM algorithm. Simulation experiments have been presented to evaluate the performance of the maximum likelihood. We analyze two data sets for illustrative purposes. Finally, we derive a bivariate version of the proposed distribution.
Keywords: Geometric distribution, power normal distribution, EM algorithm.
Full-Text [PDF 979 kb]   (280 Downloads)    
Type of Study: Applicable | Subject: General
Received: 2021/07/19 | Accepted: 2022/05/15 | Published: 2020/08/22
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Mahmoodian H. Power Normal-Geometric Distribution: Model, Properties and Applications. JSRI 2020; 17 (1) :95-111
URL: http://jsri.srtc.ac.ir/article-1-415-en.html


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Volume 17, Issue 1 (8-2020) Back to browse issues page
مجله‌ی پژوهش‌های آماری ایران Journal of Statistical Research of Iran JSRI
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