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JSRI 2013, 10(1): 107-111 Back to browse issues page
A Brief Determination of Certain Class of Power Semicircle Distribution
Rasool Roozegar *1, Reza Soltani
1- , rroozegar@yazd.ac
Abstract:   (2874 Views)

In this paper, we give a new and direct proof for the recently proved conjecture raised in Soltani and Roozegar (2012). The conjecture can be proved in a few lines via the integral representation of the Gauss-hypergeometric function unlike the long proof in Roozegar and Soltani (2013).

Keywords: Power semicircle distribution, Gauss-hypergeometric function, randomly weighted average, arcsine distribution
Full-Text [PDF 153 kb]   (1282 Downloads)    
Type of Study: Research | Subject: General
Received: 2015/12/21 | Accepted: 2015/12/21 | Published: 2015/12/21
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Roozegar R, Soltani R. A Brief Determination of Certain Class of Power Semicircle Distribution . JSRI. 2013; 10 (1) :107-111
URL: http://jsri.srtc.ac.ir/article-1-57-en.html

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Volume 10, Issue 1 (9-2013) Back to browse issues page
مجله‌ی پژوهش‌های آماری ایران Journal of Statistical Research of Iran JSRI
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