(“Ah, Hypergeometric!” To be said with the same resignation and acceptance as in “I’ll burn my books–Ah, Mephistopheles!” from Faust.)😉
Dr John Cook, eminent all ’round statistician (with a specialty in biostatistics) and statistical consultant, took up a comment I posted at his site, and produced a very fine treatment connecting the hypergeometric distribution and hypergeometric series. And he kindly gave me a hat tip.
What’s the connection between the hypergeometric distributions, hypergeometric functions, and hypergeometric series?
The hypergeometric distribution is a probability distribution with parameters , , and . Suppose you have an urn containing balls, red and the rest, blue and you select n balls at a time. The hypergeometric distribution gives the probability of selecting red balls.