English

Unbalanced urn model with random addition

Probability 2018-02-14 v1

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.

Keywords

Cite

@article{arxiv.1802.04489,
  title  = {Unbalanced urn model with random addition},
  author = {Rafik Aguech and Nabil Lasmar and Olfa Selmi},
  journal= {arXiv preprint arXiv:1802.04489},
  year   = {2018}
}

Comments

16 pages

R2 v1 2026-06-23T00:20:30.083Z