Unbalanced multi-drawing urn with random addition matrix
2019 ◽
Vol 26
(1/2)
◽
pp. 57-74
Keyword(s):
In this paper, we consider a two color multi-drawing urn model. At each discrete time step, we draw uniformly at random a sample of m balls (m≥1) and note their color, they will be returned to the urn together with a random number of balls depending on the sample’s composition. The replacement rule is a 2 × 2 matrix depending on bounded discrete positive random variables. Using a stochastic approximation algorithm and martingales methods, we investigate the asymptotic behavior of the urn after many draws.
2018 ◽
Vol 55
(1)
◽
pp. 254-281
◽
Keyword(s):
1985 ◽
Vol 18
(5)
◽
pp. 1243-1248
◽
1979 ◽
Vol 10
(3)
◽
pp. 333-338
◽