RATE OF CONVERGENCE IN DISTRIBUTION OF A LINEAR COMBINATION OF $ U $-STATISTICS FOR A DEGENERATE KERNEL - Collections

＜journal article＞
RATE OF CONVERGENCE IN DISTRIBUTION OF A LINEAR COMBINATION OF $ U $-STATISTICS FOR A DEGENERATE KERNEL

Creator	Creator Name Yamato, Hajime 大和, 元 Affiliation Affiliation Name Department of Mathematics and Computer Science, Kagoshima University 鹿児島大学数理情報科学科
Creator	Creator Name Kondo, Masao 近藤, 正男 Affiliation Affiliation Name Department of Mathematics and Computer Science, Kagoshima University 鹿児島大学数理情報科学科
Language	English
Publisher	Research Association of Statistical Sciences
Publisher	統計科学研究会
Date	2002-10
Source Title	Bulletin of informatics and cybernetics
Vol	34
Issue	1
First Page	61
Last Page	73
Publication Type	Version of Record
Access Rights	open access
Crossref DOI	https://doi.org/10.5109/13509
Related DOI	Bulletin of informatics and cybernetics \|\| 34(1) \|\| p61-73
Related DOI	http://bic.math.kyushu-u.ac.jp/
Related URI	Bulletin of informatics and cybernetics \|\| 34(1) \|\| p61-73
Related URI	http://bic.math.kyushu-u.ac.jp/
Relation	Bulletin of informatics and cybernetics \|\| 34(1) \|\| p61-73
Relation	http://bic.math.kyushu-u.ac.jp/
Abstract	Associated with an estimable parameter, we consider a linear combination of $ mathrm{U} $-statistics (Toda and Yamato, 2001) which includes $ mathrm{V} $-statistic and $ mathrm{LB} $-statistic. For a ...degenerate kernel, its asymptotic distribution (Yamato et al., 2001) is easily derived by the same method as Yamato and Toda (2001). We give the rate of this convergence in distribution.show more

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PISSN	0286-522X
EISSN	2435-743X
NCID	AA10634475
Record ID	13509
Peer-Reviewed	Refereed
Subject Terms	Linear combination of U-statistics
	order of degeneracy
	rate of convergence
Type	学術雑誌論文
Created Date	2009.04.22
Modified Date	2020.10.22