Computation of the Multinomial Distribution Function

The computation of the multinomial distribution function is of interest to many researchers and practicers who are working in the areas of engineering and in the related disciplines of computing sciences. The accurate computation of probabilities is very important in some applied areas. A direct computation is not only difficult, due to the limitation of the computer systems, but also inaccurate, as a result of many redundant computations. This research is to develop an effective method to compute the weight probabilities for the multinomial distribution function accurately and efficiently.
This article is from 'Computing Science and Statistics: Proceedings of the Symposium on Interface Critical Applications of Scientific Computing (23rd): Biology, Engineering, Medicine, Speech Held in Seattle, Washington on 21-24 April 1991,' AD-A252 938, p451-454.