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題名 A family of simultaneous confidence intervals for multinomial proportions
作者 Hou, Chia-Ding ; Chiang, Jengtung ; Tai, John Jen
江振東
貢獻者 統計系
關鍵詞 Coverage probability; Monte-Carlo method; Power-divergence statistic; Simultaneous confidence intervals; Sparse data
日期 2003
上傳時間 20-十一月-2014 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
資料類型 article
DOI http://dx.doi.org/10.1016/S0167-9473(02)00169-X
dc.contributor 統計系en_US
dc.creator (作者) Hou, Chia-Ding ; Chiang, Jengtung ; Tai, John Jenen_US
dc.creator (作者) 江振東zh_TW
dc.date (日期) 2003en_US
dc.date.accessioned 20-十一月-2014 18:13:44 (UTC+8)-
dc.date.available 20-十一月-2014 18:13:44 (UTC+8)-
dc.date.issued (上傳時間) 20-十一月-2014 18:13:44 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/71610-
dc.description.abstract (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 reserveden_US
dc.format.extent 231358 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Computational Statistics and Data Analysis,43, 29-45en_US
dc.subject (關鍵詞) Coverage probability; Monte-Carlo method; Power-divergence statistic; Simultaneous confidence intervals; Sparse dataen_US
dc.title (題名) A family of simultaneous confidence intervals for multinomial proportionsen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1016/S0167-9473(02)00169-Xen_US
dc.doi.uri (DOI) http://dx.doi.org/10.1016/S0167-9473(02)00169-Xen_US