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 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 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 ...