出版日期：2008-05-01 00:00:00

著者：Chang, Ching-hui; 林志娟; Lin, Jyh-jiuan; Pal, Nabendu; Chiang, Miao-chen

單位：淡江大學統計學系

出版者：American Statistical Association

著錄名稱、卷期、頁數：American Statistician 62(2), pp.167-170

摘要：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.

關鍵字：Central limit Theorem; cumulative distribution function (cdf); skew parameter

語言：en

ISSN：0003-1305

期刊性質：國外

收錄於：SCI

國別：USA