Calculating binomial probabilities when the trial probabilities are unequal
Marlin A. Thomas, Audrey E. Taub · Journal of Statistical Computation and Simulation · 1982
The problem of computing binomial probabilities when the trial probabilities are unequal is investigated. An algorithm for computing such probabilities is formulated by expanding the probability generating function and collecting the appropriate coefficients via a recursive scheme. Various examples are given, and comparisons are made with calculations of such probabilities using the probability distribution.