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ON A GENERALIZED Q-URN MODEL

Published online by Cambridge University Press:  15 September 2014

May-Ru Chen  and
Shoou-Ren Hsiau
May-Ru Chen
Affiliation:
Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 804, Taiwan, Republic of China E-mail: mayru@faculty.nsysu.edu.tw
Shoou-Ren Hsiau
Affiliation:
Department of Mathematics, National Changhua University of Education, No. 1, Jin-De Road, Changhua 500, Taiwan, Republic of China E-mail: srhsiau@cc.ncue.edu.tw
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Abstract

Recently, Chen, Hsiau & Yang [1] proposed a new two-urn model with red and white balls and showed that the fractions of red balls in both urns converge almost surely to the same limit. We extend the results for the two-urn model to the q-urn model (q≥3) with similar dynamics of drawing and adding balls. We use matrix forms and martingale theory to show that the fractions of red balls in all urns converge almost surely to the same limit.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 29 , Issue 1 , January 2015 , pp. 99 - 115
Copyright
Copyright © Cambridge University Press 2014 

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References

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