A Note on Improved Approximation of the Binomial Distribution by the Skew-normal Distribution

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Title:	A Note on Improved Approximation of the Binomial Distribution by the Skew-normal Distribution
Authors:	Chang, Ching-hui;林志娟;Lin, Jyh-jiuan;Pal, Nabendu;Chiang, Miao-chen
Contributors:	淡江大學統計學系
Keywords:	Central limit Theorem;cumulative distribution function (cdf);skew parameter
Date:	2008-05
Issue Date:	2010-08-10 10:27:14 (UTC+8)
Publisher:	American Statistical Association
Abstract:	It is a common practice to approximate a binomial distribution by a suitable normal distribution when n, the number of trials, is moderately large. But when p, the probability of success, is not close to 0.5, the binomial distribution can be heavily skewed, and hence the usual normal approximation may not be a good idea. In this note we show that the skew-normal distribution can provide a far better approximation due to its flexibility, and it can be used to approximate distributions other than the binomial one.
Relation:	American Statistician 62(2), pp.167-170
DOI:	10.1198/000313008X305359
Appears in Collections:	[Graduate Institute & Department of Statistics] Journal Article

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