Re: Derivation as de Moivre did of the normal distribution
From: Herman Rubin (hrubin_at_odds.stat.purdue.edu)
Date: 08/10/04
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Date: 9 Aug 2004 19:55:36 -0500
In article <41162d18$0$292$edfadb0f@dread12.news.tele.dk>,
Anja <anja@no.spam.com> wrote:
>Does anybody know the derivation of the normal distribution as was
>introduced by de Moivre in the book "the doctrine fo chances" in the context
>of approximating certain binomial distributions for large n?
Just use Stirling's formula to approximate the factorials,
and calculus to approximate the resulting probability as
a function of k-np. Just as the sum is an approximation
of the integral, so is the integral an approximation of
the sum.
-- This address is for information only. I do not claim that these views are those of the Statistics Department or of Purdue University. Herman Rubin, Department of Statistics, Purdue University hrubin@stat.purdue.edu Phone: (765)494-6054 FAX: (765)494-0558
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