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 ...

The purpose of the Institute of Mathematical Statistics (IMS) is to foster the development and dissemination of the theory and applications of statistics and probability. The Institute was formed at 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 ...