Unbalanced urn model with random addition

Rafik Aguech; Nabil Lasmar; Olfa Selmi

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arXiv · 1802.04489

Unbalanced urn model with random addition

Rafik Aguech·Nabil Lasmar·Olfa Selmi

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Abstract

In this paper, we consider a multi-drawing urn model with random addition. At each discrete time step, we draw a sample of m balls. According to the composition of the drawn colors, we return the balls together with a random number of balls depending on two discrete random variables X and Y with finite means and variances. Via the stochastic approximation algorithm, we give limit theorems describing the asymptotic behavior of white balls.

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Rafik Aguech, Nabil Lasmar, Olfa Selmi. 2018-02-13. Unbalanced urn model with random addition. https://arxiv.org/abs/1802.04489

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