MEAN SQUARED ERRORS OF BOOTSTRAP VARIANCE ESTIMATORS FOR U-STATISTICS - Collections

＜journal article＞
MEAN SQUARED ERRORS OF BOOTSTRAP VARIANCE ESTIMATORS FOR U-STATISTICS

Creator	Creator Name Mizuno, Masayuki 水野, 政幸ミズノ, マサユキ Affiliation Affiliation Name Graduate School of Mathematics, School of Mathematics Kyushu University 九州大学大学院数理学府
Creator	Author PID K002245 Creator Name Maesono, Yoshihiko 前園, 宜彦マエソノ, ヨシヒコ Affiliation Affiliation Name Faculty of Mathematics, Kyushu University 九州大学大学院数理学研究院
Language	English
Publisher	統計科学研究会
Publisher	Research Association of Statistical Sciences
Date	2011-12
Source Title	Bulletin of informatics and cybernetics
Vol	43
First Page	67
Last Page	82
Publication Type	Version of Record
Access Rights	open access
Crossref DOI	https://doi.org/10.5109/1434312
Related DOI	http://bic.math.kyushu-u.ac.jp/
Related URI	http://bic.math.kyushu-u.ac.jp/
Relation	http://bic.math.kyushu-u.ac.jp/
Abstract	In this paper, we obtain an asymptotic representation of the bootstrap variance estimator for a class of U-statistics. Using the representation of the estimator, we will obtain a mean squared error of... the variance estimator until the order n^<-2>. Also we compare the bootstrap and the jackknife variance estimators, theoretically.show more

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