RT - Journal Article T1 - A Brief Determination of Certain Class of Power Semicircle Distribution JF - srtc-jsri YR - 2013 JO - srtc-jsri VO - 10 IS - 1 UR - http://jsri.srtc.ac.ir/article-1-57-en.html SP - 107 EP - 111 K1 - Power semicircle distribution K1 - Gauss-hypergeometric function K1 - randomly weighted average K1 - arcsine distribution AB - 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). LA eng UL http://jsri.srtc.ac.ir/article-1-57-en.html M3 10.18869/acadpub.jsri.10.1.107 ER -