EDGEWORTH EXPANSIONS OF SOME STATISTICS INCLUDING THE LB-STATISTIC AND V-STATISTIC

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概要

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• As an estimator of an estimable parameter, Toda and Yamato (2001) introduced a linear combination Y_n of U-statistics which includes V-statistic and LB-statistic. We give the Edgeworth expansions of the standardized Y_n statistic with remainder ο(n^<-l>) in case that the kernel is not degenerate. We also give the Edgeworth expansions of the studentized Y_n statistic using a jackknife variance estimator with remainder ο(n^<-1/2>).

• 一般社団法人日本統計学会の論文

著者

• Toda Koichiro

  Graduate School of Science and Engineering, Kagoshima University

• Yamato Hajime

  Department of Mathematics and Computer Science, Kagoshima University

• Nomachi Toshifumi

  Miyakonojo College Of Technology

• Yamato Hajime

  Department Of Mathematics And Computer Science Kagoshima University

• Toda Koichiro

  Graduate School Of Science And Engineering Kagoshima University

関連論文

• BERRY-ESSEEN BOUNDS FOR SOME STATISTICS INCLUDING LB-STATISTIC AND V-STATISTIC
• Characterization of Some Random Partitions
• EDGEWORTH EXPANSIONS OF SOME STATISTICS INCLUDING THE LB-STATISTIC AND V-STATISTIC
• HIGHER ORDER EFFICIENCY OF LINEAR COMBINATIONS OF U-STATISTICS AS ESTIMATORS OF ESTIMABLE PARAMETERS
• A CONVEX COMBINATION OF TWO-SAMPLE U-STATISTICS
• INVARIANCE PRINCIPLES FOR A LINEAR COMBINATION OF U-STATISTICS
• ALMOST SURE CONVERGENCE OF A LINEAR COMBINATION OF U-STATISTICS
• LARGE DEVIATIONS FOR A LINEAR COMBINATION OF U-STATISTICS

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