Ah, Hypergeometric!

Posted on 8 February 2016 by ecoquant

(“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 ecoquant

See https://wordpress.com/view/667-per-cm.net/ Retired data scientist and statistician. Now working projects in quantitative ecology and, specifically, phenology of Bryophyta and technical methods for their study.
This entry was posted in card decks, card draws, card games, games of chance, John Cook, mathematics, maths, probability, sampling, sampling without replacement, statistical dependence. Bookmark the permalink.

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