TY - JOUR T1 - A Brief Determination of Certain Class of Power Semicircle Distribution TT - تعیینی کوتاه از رده‌ی معینی از توزیع نیم‌دایره‌ی توانی JF - srtc-jsri JO - srtc-jsri VL - 10 IS - 1 UR - http://jsri.srtc.ac.ir/article-1-57-en.html Y1 - 2013 SP - 107 EP - 111 KW - Power semicircle distribution KW - Gauss-hypergeometric function KW - randomly weighted average KW - arcsine distribution N2 - 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). M3 10.18869/acadpub.jsri.10.1.107 ER -