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

About hypergeometric

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