'Simple' question, what is the fastest way to calculate the binomial coefficient? - Some threaded algorithm? I'm looking for hints :) - not implementations :)

I have dug around and googled but not found an example. I'm sure Julia has a powerful function (in base?) to generate random binomial (bernoulli?) "successes" with a given probability. I ...

I would like to calculate the probability given by a binomial distribution for predetermined x(successes), n(trials), and p(probability) - the later of which is given by a probability mass function...

Let's say that I know the probability of a "success" is P. I run the test N times, and I see S successes. The test is akin to tossing an unevenly weighted coin (perhaps heads is a success, tails is...

I have been looking for a way to fit data to a beta binomial distribution and estimate alpha and beta, similar to the way the vglm package in VGAM library does. I have not been able to find how to ...

I am trying to build a mathematical model of the availability of a file in a distributed file-system. I posted this question at MathOverflow but this might as well be classified as a CS-question so...