tag:blogger.com,1999:blog-264226589944705290.post874285203154810672..comments2022-11-19T01:08:31.131-08:00Comments on God Plays Dice: A street-fighting approach to the variance of a hypergeometric random variableMichael Lugohttp://www.blogger.com/profile/15671307315028242949noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-264226589944705290.post-88449348298802333612011-05-23T20:56:06.707-07:002011-05-23T20:56:06.707-07:00For some visualizations of symmetry in hypergeomet...For some visualizations of symmetry in hypergeometric distributions, take a look at <a href="http://deckulator.blogspot.com/2010/12/visualizing-hypergeometric-distribution.html" rel="nofollow">deckulator</a> which also links to an online calculator for a multivariate hypergeometric distribution.Michael B. Moorehttps://www.blogger.com/profile/05229631959876839584noreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-34290049036861333562011-04-03T16:43:17.655-07:002011-04-03T16:43:17.655-07:00It's been 25 years since I took this sort of c...It's been 25 years since I took this sort of class. My instinct would be to begin with the binomial theorem where you take N samples, and write it as the sum of two random variables where you take n and N-n samples. The averages add up, the variances are related. But to get the hypergeometric, you have to sum out over the specific cases for the results of the N samples. This is natural when you consider the generating functions. Like I say, it's been a long, long, time.CarlBrannenhttps://www.blogger.com/profile/17180079098492232258noreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-50954591762190367442011-04-03T08:35:44.847-07:002011-04-03T08:35:44.847-07:00You're right. Thanks for pointing out the mist...You're right. Thanks for pointing out the mistake.Michael Lugohttps://www.blogger.com/profile/01950197848369071260noreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-3964972118121302242011-04-03T07:43:39.250-07:002011-04-03T07:43:39.250-07:00This comment has been removed by the author.Shamus Patryhttps://www.blogger.com/profile/13219703767035420252noreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-26274361801681844022011-04-02T11:27:39.386-07:002011-04-02T11:27:39.386-07:00I believe there a typo in your second paragraph. I...I believe there a typo in your second paragraph. I think you meant to say "without replacement," instead of "with replacement.Anonymousnoreply@blogger.com