Distribution of Geometrically Weighted Sum of Bernoulli Random Variables

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DOI: 10.4236/am.2011.211195    4,770 Downloads   9,537 Views   Citations


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.

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D. Bhati, P. Kgosi and R. Rattihalli, "Distribution of Geometrically Weighted Sum of Bernoulli Random Variables," Applied Mathematics, Vol. 2 No. 11, 2011, pp. 1382-1386. doi: 10.4236/am.2011.211195.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] S. Kunte and R. N. Rattihalli, “Uniform Random Variable. Do They Exist in Subjective Sense?” Calcutta Statistical Association Bulletin, Vol. 42, 1992, pp. 124-128.
[2] K. L. Chung, “A Course in Probability Theory,” 3rd Edi-tion, Academic Press, Cambridge, 2001.

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