DISCUSSION ON SKEW-NORMAL APPROXIMATION OF A
by Ching-Hui Chang, Jyh-Jiuan Lin, Nabendu Pal * and Miao-Chen Chiang
Approximating a binomial distribution by a suitable normal distribution is a well
known practice, and widely discussed in introductory level statistics books. Recently it
has been shown (in Chang et al. (2008)) that the skew-normal distributions can provide a
far better approximation than the normal ones. This article revisits the approximation
issue and other related inferential aspects. Though we are restricting ourselves here to
binomial distribution only, our investigation shows that the same patterns hold good for
Poisson, negative binomial and hypergeometric distributions as well.
Central Limit Theorem, cumulative distribution function (cdf), skew parameter
Ching-Hui Chang, email@example.com
Jyh-Jiuan Lin, firstname.lastname@example.org
Nabendu Pal, email@example.com
Miao-Chen Chiang, firstname.lastname@example.org
Debasis Kundu, email@example.com
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