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Article #507Re: approx. of binomial dist., help needed
From: J A Stephen Viggiano
Date: Thu, 15 Oct 1992 14:19
Date: Thu, 15 Oct 1992 14:19
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In article <1992Oct13.152111.19443@nmsu.edu> dclason@dante.nmsu.edu (Dennis Clason) writes: >Strictly speaking, the approximation is based on the fact that the >a sequence of binomial random variables converges in distribution >to a Poisson if n --> inf and p --> 0 in such a way that np --> lambda. Most people select the value of lambda to be *precisely* np. They match the first moment. >So, it's not so much that it's important for p to be small as it is that >np be small relative to n. Which is essentially the same as saying (as I did in an earlier post) that it's important for p to be small. How can np be small relative to n, without p being small????? Am I missing something?
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Newsgroups: sci.math.stat Path: arc1-ca.pugleaf.net!sparky!uunet!tcsi.com!iat.holonet.net!psinntp!psinntp!isc-newsserver!jsvrc From: jsvrc@rc.rit.edu (J A Stephen Viggiano) Subject: Re: approx. of binomial dist., help needed Message-ID: <1992Oct15.141953.21416@ultb.isc.rit.edu> Sender: news@ultb.isc.rit.edu (USENET News System) Nntp-Posting-Host: bruno.rc.rit.edu Organization: RIT Research Corp References: <1992Oct7.025857.28031@news2.cis.umn.edu> <1992Oct8.202310.10461@ultb.isc.rit.edu> <1992Oct13.152111.19443@nmsu.edu> Date: Thu, 15 Oct 1992 14:19:53 GMT Lines: 15