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Notes on a Limit Distribution of Urn Model(PDF)

南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2007年02期
Page:
87-89
Research Field:
Publishing date:

Info

Title:
Notes on a Limit Distribution of Urn Model
Author(s):
Nurmuhammat·Siraji1; Yang Jilong2; Mi Hui2
1.Department of Mathematics,Xinjiang Hotan Advanced Normal School, Hotan 848000,China;2.School of Mathematics and Computer Science,Nanjing Normal University,Nanjing 210097,China
Keywords:
U rn m ode ; l B distribution;  lim it d istribution;  converge in probability
PACS:
O211.4
DOI:
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Abstract:
In th is paper, Sn denotes the number o f b lack ba lls cho sen in the first n draw ing s, and it is prove tha t Sn /n converges in probab ility as n→ ∞ to 0. 5 in Friedm an U rnM odel and Sn /n converges in d istr ibu tion asn→ ∞ to a random variab leZ in Po lya UrnMode,l w hich has a B eta distribution.

References:

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Last Update: 2013-04-29