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 ...

An earlier article [1] presented two formulas for approximating the upper binomial confidence limit p̄ from a sample of size n with c "defectives" drawn randomly from an infinite population with ...

A heuristic algorithm that accurately and quickly approximates loss distributions for portfolios of independent credits is introduced in this paper. An algorithm such as this can be used in the ...

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 ...