2000年6月
Quantitative approximation to the ordered Dirichlet distribution under varying basic probability spaces
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS
- ,
- 巻
- 52
- 号
- 2
- 開始ページ
- 197
- 終了ページ
- 214
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- 出版者・発行元
- KLUWER ACADEMIC PUBL
An approximate expansion of a sequence of ordered Dirichlet densities is given under the set-up with varying dimensions of the relating basic probability spaces. The problem is handled as the approximation to the joint distribution of an increasing number of selected order statistics based on the random sample drawn from the uniform distribution U(0, 1). Some inverse factorial series to the expansion of logarithmic function enable us to give quantitative error evaluations to our problem. With the help of them the relating modified K-L information number, which is defined on an approximate main domain and different from the usual ones, is accurately evaluated. further, the proof of the approximate joint normality of the selected order statistics is more systematically presented than those given in existing works. Concerning the approximate normality the modified affinity and the half variation distance are also evaluated.
- リンク情報
- ID情報
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- ISSN : 0020-3157
- Web of Science ID : WOS:000087936000001