ASYMPTOTIC DISTRIBUTION OF NUMBER OF DISTINCT OBSERVATIONS AMONG A SAMPLE FROM MIXTURE OF DIRICHLET PROCESSES - Collections

＜journal article＞
ASYMPTOTIC DISTRIBUTION OF NUMBER OF DISTINCT OBSERVATIONS AMONG A SAMPLE FROM MIXTURE OF DIRICHLET PROCESSES

Creator	Creator Name Yamato, Hajime 大和, 元ヤマト, ハジメ Affiliation Affiliation Name Kagoshima University : Professor Emeritus 鹿児島大学 : 名誉教授
Language	English
Publisher	Research Association of Statistical Sciences
Publisher	統計科学研究会
Date	2012-12
Source Title	Bulletin of informatics and cybernetics
Vol	44
First Page	41
Last Page	47
Publication Type	Version of Record
Access Rights	open access
Crossref DOI	https://doi.org/10.5109/1495410
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	Let X_1, X_2, …, X_n be a sample of size n from a random discrete distribution P on the real line R. If we consider i and j are equivalent in case of X_i = X_j, this equivalence relation give a random... partition of N_n = {1, 2, …, n}. In the case where P is given by a mixture of Dirichlet processes, we discuss the convergence in distribution of the number K_n of distinct components of the random partition of N_n.show more

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PISSN	0286-522X
EISSN	2435-743X
NCID	AA10634475
Record ID	1495410
Peer-Reviewed	Refereed
Subject Terms	Mixture of Dirichlet processes
	Normal approximation
	Poisson distribution
	random partition
	smoothing lemma
Created Date	2015.03.09
Modified Date	2020.10.22