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https://tkuir.lib.tku.edu.tw/dspace/handle/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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