淡江大學機構典藏:Item 987654321/20662
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    题名: A Note on Improved Approximation of the Binomial Distribution by the Skew-normal Distribution
    作者: Chang, Ching-hui;林志娟;Lin, Jyh-jiuan;Pal, Nabendu;Chiang, Miao-chen
    贡献者: 淡江大學統計學系
    关键词: Central limit Theorem;cumulative distribution function (cdf);skew parameter
    日期: 2008-05
    上传时间: 2010-08-10 10:27:14 (UTC+8)
    出版者: American Statistical Association
    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.
    關聯: American Statistician 62(2), pp.167-170
    DOI: 10.1198/000313008X305359
    显示于类别:[統計學系暨研究所] 期刊論文

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