政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/71610

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政大機構典藏 > 商學院 > 統計學系 > 期刊論文 > Item 140.119/71610

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/71610

Title:	A family of simultaneous confidence intervals for multinomial proportions
Authors:	Hou, Chia-Ding;Chiang, Jengtung;Tai, John Jen 江振東
Contributors:	統計系
Keywords:	Coverage probability;Monte-Carlo method;Power-divergence statistic;Simultaneous confidence intervals;Sparse data
Date:	2003
Issue Date:	2014-11-20 18:13:44 (UTC+8)
Abstract:	In this article approximate parametric bootstrap confidence intervals for functions of multinomial proportions are discussed. The interesting feature of these confidence intervals is that they are obtained via an Edgeworth expansion approximation for the rectangular multino-mial probabilities rather than the resampling approach. In the first part of the article simultaneous confidence intervals for multinomial proportions are considered. The parametric bootstrap confidence interval appears to be the most accurate procedure. The use of this parametric bootstrap confidence region in the sample size determination problem is also discussed. In the second part of the article approximate parametric bootstrap equal-tailed confidence intervals for the minimum and maximum multinomial cell probabilities are derived. Numerical results based on a simulation study are presented to evaluate the performance of these confidence intervals. We also indicate several problems for possible future research in this area. cO 1999 Elsevier Science B.V. All rights reserved
Relation:	Computational Statistics and Data Analysis,43, 29-45
Data Type:	article
DOI 連結:	http://dx.doi.org/10.1016/S0167-9473(02)00169-X
DOI:	10.1016/S0167-9473(02)00169-X
Appears in Collections:	[統計學系] 期刊論文

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