Scientific Research Publishing

Distribution of Geometrically Weighted Sum of Bernoulli Random Variables ()

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 ...
IEEE

The Tail Distribution of the Sum of Kappa Random Variables with Unequal Weight and Correlation

Abstract: Applications of the Kappa distribution, which is used to describe the particle velocity distribution when a system is in thermal anti-equilibrium, to statistical mechanics and high frequency ...
Utah State University

The Central Limit Theorem

The Central Limit Theorem (CLT) says that the distribution of a sum of independent random variables from a given population converges to the normal distribution as the sample size increases, ...
Scientific Research Publishing

Bennett, G. (1962) Probability Inequalities for the Sum of Independent Random Variables. Journal of the American Statistical Association, 57, 33-45.

ABSTRACT: A standard assumption in the literature of learning theory is the samples which are drawn independently from an identical distribution with a uniform bounded output. This excludes the common ...
Utah State University

Probability Models and Random Variables

The Virginia Lottery offers a game called the New Year's Millionaire Raffle for which the top prize is one million dollars. There are 375,000 tickets sold, of which 508 are winners. There are three ...