Distribution of geometrically weighted sum of bernoulli ramdom variables
Rattihalli, Ranganath Narayanacharya
PublisherScientific Research, www.scirp.org/
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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.