Estimation of Log-Linear-Binomial Distribution with Applications

Abstract EN

Log-linear-binomial distribution was introduced for describing the behavior of the sum of dependent Bernoulli random variables.

The distribution is a generalization of binomial distribution that allows construction of a broad class of distributions.

In this paper, we consider the problem of estimating the two parameters of log-linearbinomial distribution by moment and maximum likelihood methods.

The distribution is used to fit genetic data and to obtain the sampling distribution of the sign test under dependence among trials.