Unbalanced multi-drawing urn with random addition matrix
Selmi, R. Aguech, O. . 2019
In this paper, we consider a two color multi-drawing urn model. At each discrete time step, we
draw a sample of m balls (m >2), which will be returned to the urn together with a random number
of balls. The replacement rule is a 2×2 matrix depending on X and Y , two discrete positive random
variables with finite means and variances. Using a stochastic approximation algorithm, we study the
asymptotic behavior of the urn.
In this paper, we consider a two-dimension symmetric random walk with reset. We give, in the first part, some results about the distribution of every component. In the second part, we give some…
In this paper, we give some results about a multi-drawing urn with random
addition matrix. The process that we study is described as: at stage n ≥ 1,
we pick out at random…
I
In this article, we consider several models of random walks in one or several
dimensions, additionally allowing, at any unit of time, a reset (or “catastrophe”) of
the walk…