Distribution of Geometrically Weighted Sum of Bernoulli Random Variables

• 作者: Deepesh Bhati Phazamile Kgosi Ranganath Narayanacharya Rattihalli
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: BINARY Representation PROBABILITY Mass FUNCTION DISTRIBUTION FUNCTION Characteristic FUNCTION
• 年，卷（期）: 2011,（11）
• 页码范围: 1382-1386
• 页数: 5页
• 分类号: O1

摘要

A new class of distributions over (0,1) is obtained by considering geometrically weighted sum of independent identically distributed (i.i.d.) Bernoulli random variables. An expression for the distribution function (d.f.) is derived and some properties are established. This class of distributions includes U(0,1) distribution.