MOMENTS OF SOME STATISTICS OF PITMAN SAMPLING FORMULA - Collections

＜journal article＞
MOMENTS OF SOME STATISTICS OF PITMAN SAMPLING FORMULA

Creator	Creator Name Yamato, Hajime 大和, 元 Affiliation Affiliation Name Department of Mathematics and Computer Science, Kagoshima University 鹿児島大学理学部数理情報科学科
Creator	Creator Name Shibuya, Masaaki 渋谷, 政昭 Affiliation Affiliation Name Takachiho University 高千穂大学
Language	English
Publisher	Research Association of Statistical Sciences
Publisher	統計科学研究会
Date	2000-06
Source Title	Bulletin of informatics and cybernetics
Vol	32
Issue	1
First Page	1
Last Page	10
Publication Type	Version of Record
Access Rights	open access
Crossref DOI	https://doi.org/10.5109/13490
Related DOI	Bulletin of informatics and cybernetics \|\| 32(1) \|\| p1-10
Related DOI	http://bic.math.kyushu-u.ac.jp/
Related URI	Bulletin of informatics and cybernetics \|\| 32(1) \|\| p1-10
Related URI	http://bic.math.kyushu-u.ac.jp/
Relation	Bulletin of informatics and cybernetics \|\| 32(1) \|\| p1-10
Relation	http://bic.math.kyushu-u.ac.jp/
Abstract	For Pitman sampling formul a which is a distribution on all unordered partitions of a positive integer, we give the moments of the number of components of the random partition which are the descending... factorial moments, the ascending factorial moments and the usual moments. Using them the asymptotic distribution of the number of components of the random partition is derived. The moments of Pitman sampling formula are also given. Using them we give the asymptotic distributions of the marginals and their functions.show more

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PISSN	0286-522X
EISSN	2435-743X
NCID	AA10634475
Record ID	13490
Peer-Reviewed	Refereed
Subject Terms	Random partition
	Pitman sampling formula
	Mittag-Leffler distribution
Type	学術雑誌論文
Created Date	2009.04.22
Modified Date	2020.10.22