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An approximation for negative binomial sums involving a minimum of arithmetic is presented. Because of the relationship between negative binomial sums and regular binomial sums the approximation can ...

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 ...

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 ...

The binomial distribution is an important discrete distribution. It gives the probability of the number of "successes," in a sequence of n independent binary trials. This applet allows users to drag ...