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    题名: A family of simultaneous confidence intervals for multinomial proportions
    作者: Hou, Chia-Ding;Chiang, Jengtung;Tai, John Jen
    江振東
    贡献者: 統計系
    关键词: Coverage probability;Monte-Carlo method;Power-divergence statistic;Simultaneous confidence intervals;Sparse data
    日期: 2003
    上传时间: 2014-11-20 18:13:44 (UTC+8)
    摘要: 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
    關聯: Computational Statistics and Data Analysis,43, 29-45
    数据类型: article
    DOI 連結: http://dx.doi.org/10.1016/S0167-9473(02)00169-X
    DOI: 10.1016/S0167-9473(02)00169-X
    显示于类别:[統計學系] 期刊論文

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