In this article we review two historical approximations to the Poisson and binomial cumulative distribution functions (CDFs); that is, the Wilson—Hilferty and Camp—Paulson approximations. Both of ...
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 ...