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标题：On <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.198pt;width:11.4px;" id="M1" height="16.35" version="1.1" viewBox="0 0 11.4 16.35" width="11.4"> <g transform="matrix(.022,-0,0,-.022,.062,16.025)"><path id="x1D458" d="M480 416q0 -21 -18 -41q-9 -11 -17 -7q-20 9 -42 9q-62 0 -140 -78q23 -69 88 -192q17 -31 27 -42t20 -11q16 0 62 46l17 -20q-64 -92 -119 -92q-35 0 -70 66q-41 73 -84 187q-36 -30 -62 -61q-27 -115 -35 -172q-41 -8 -78 -20l-6 6l140 612q7 28 0.5 34t-37.5 7l-34 1
l5 26q38 4 74 13.5t57 17t25 7.5q12 0 4 -32l-104 -443h2q35 38 97 93q39 35 65.5 56t62 41.5t58.5 20.5q19 0 30.5 -10t11.5 -22z"></path></g> </svg>-Gamma and <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.198pt;width:11.4px;" id="M2" height="16.35" version="1.1" viewBox="0 0 11.4 16.35" width="11.4"> <g transform="matrix(.022,-0,0,-.022,.062,16.025)"><use xlink:href="#x1D458"></use></g> </svg>-Beta Distributions and Moment Generating Functions
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作者：Gauhar Rahman ; Shahid Mubeen ; Abdur Rehman 等
期刊名称：Journal of Probability and Statistics
印刷版ISSN：1687-952X
电子版ISSN：1687-9538
出版年度：2014
卷号：2014
DOI：10.1155/2014/982013
出版社：Hindawi Publishing Corporation
摘要：The main objective of the present paper is to define -gamma and -beta distributions and moments generating function for the said distributions in terms of a new parameter . Also, the authors prove some properties of these newly defined distributions.