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 ...

Second, the binomial distribution assumes that we know the intrinsic probability of an event occurring, as we would with a dice roll or coin flip. But we never really know what a baseball player’s ...

The study integrates Gaussian copula and shifted-gamma copula (factor decomposition) models into the Poisson binomial distribution framework, enabling the valuation of credit portfolios with tranches ...