TITLE:
Distribution of Geometrically Weighted Sum of Bernoulli Random Variables
AUTHORS:
Deepesh Bhati, Phazamile Kgosi, Ranganath Narayanacharya Rattihalli
KEYWORDS:
Binary Representation, Probability Mass Function, Distribution Function, Characteristic Function
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.11,
November
30,
2011
ABSTRACT: 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.