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Distribution of Geometrically Weighted Sum of Bernoulli Random Variables

Distribution of Geometrically Weighted Sum of Bernoulli Random Variables
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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. 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.
机构地区 不详
出处 《Applied Mathematics》 2011年第11期1382-1386,共5页 应用数学(英文)
关键词 BINARY Representation PROBABILITY Mass FUNCTION DISTRIBUTION FUNCTION Characteristic FUNCTION Binary Representation Probability Mass Function Distribution Function Characteristic Function
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