This project analyzes the approximation of the binomial distribution by the Poisson distribution. Using several distance measures, such as Kullback-Leibler (KL) divergence, Jensen-Shannon divergence, ...

In a finite series of independent success-failure trials, the total number of successes has a binomial probability distribution. It is a classical result that this probability distribution is subject ...

This is a preview. Log in through your library . Abstract Using Stein's method, we derive explicit upper bounds on the total variation distance between a Poisson-binomial law (the distribution of a ...

This study extends the Poisson binomial distribution by introducing correlation and dependence between binomial events, enhancing its ability to capture complex event types and improving model ...

This repository explores the mathematical principles behind the concept of “Risk of Ruin” in casinos. It introduces a probabilistic model that estimates the likelihood of a casino going bankrupt, ...

ABSTRACT: A Poisson distribution is well used as a standard model for analyzing count data. Most of the usual constructing confidence intervals are based on an asymptotic approximation to the ...