## Ah, Hypergeometric!

(“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.

Enjoy!

Excerpt:

What’s the connection between the hypergeometric distributions, hypergeometric functions, and hypergeometric series?

The hypergeometric distribution is a probability distribution with parameters $N$, $M$, and $n$. Suppose you have an urn containing $N$ balls, $M$ red and the rest, $N - M$ blue and you select n balls at a time. The hypergeometric distribution gives the probability of selecting $k$ red balls.
$\vdots$