You could do the calculation of the fraction yourself. Therefore you need to calculate $d$ directly. Then you can get all values of the numerators and the denominators and multiply them by hand and make sure that the result will not get too big. The following code is poorly in...

matlab,permutation,probability,poisson,binomial-cdf

How about this? probability = [.3 .2 .4 .7]; n = numel(probability); combs = dec2bin(0:2^n-1).'-'0'; %'// each column is a combination of n values, %// where each value is either 0 or 1. A 1 value will represent an event %// that happens; a 0 value will represent an event...

python,statistics,scipy,beta,binomial-cdf

I have not seen estimation for beta-binomial in Python. If you just want to estimate the parameters, then you can use scipy.optimize to minimize the log-likelihood function which you can write yourself or copy code after a internet search. You can subclass rv_discrete in order to use the framework of...