The Sigma-Pi structure investigated in this work consists of the sum of products of an increasing number of identically distributed random variables. It appears in stochastic processes with random ...

The binomial distribution models the number of successes in a fixed number of independent Bernoulli trials, each with the same probability of success. The chi-square distribution is often used in ...

The Annals of Mathematical Statistics, Vol. 43, No. 5 (Oct., 1972), pp. 1719-1726 (8 pages) Let {Xn, n ≥ 1} be a sequence of random variables such that for suitably ...

This is a preview. Log in through your library . Sankhya, the Indian Journal of Statistics, aims to publish original, high quality research articles in all areas of statistics, such as theoretical ...

The ratio R of two random quantities is frequently encountered in probability and statistics. But while for unidimensional statistical variables the distribution of R can be computed relatively easily ...

"All of the named distributions that we'll encounter in this book have been implemented in R. In this section we'll explain how to work with the Binomial and Hypergeometric distributions in R. We will ...

Abstract: Sums of lognormal random variables occur in many wireless communications problems, in part, because a shadowing environment is well modeled by a lognormal distribution. A closed-form ...

Density functions are nonnegative for all real numbers but greater than zero only at a finite or countably infinite number of points. Density functions are nonnegative for all real numbers and are ...