A Generalized Urn Model With Multiple Drawing And Random Addition I).

Conference Paper

Selmi, Rafik Aguech and Olfa . 2014

• نوع عمل المنشور: Rsearch paper
• رابط المنشور على الويب: AOFA2014
• الوسوم: Paper
• اسم المؤتمر: AOFA 2014
• عنوان المؤتمر: 25th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms
• تاريخ المؤتمر: الاثنين, حزيران (يونيو) 16, 2014
• المنظمة الراعية: FRance

مستخلص المنشور

In this paper we consider a non balanced generalized Polya urn model. At each step, m balls are drawn at random from an urn containing white and black balls. Balls are added according the inspected colors. We consider two different models: the self reinforcement model and the opposite reinforcement model. We use the Stochastic approximation to obtain the almost sure convergence of the proportion of white balls in the urn, then we give the asymptotic of the expectation and the variance. Moreover we obtain a central limit theorem for the number of white balls in the case of opposite reinforcement urn model.