Bounds on Random Infinite Urn Model
Bulletin of the Malaysian Mathematical Society, Tome 30 (2007) no. 2
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Let N(n) be a Poisson random variable with parameter n . An infinite urn model is defined as follows: N(n) balls are independently placed in an infinite set of urns and each ball has probability p k > 0 of being assigned to the k -th urn. We assume that p k ≥ p k+1 for all k and ∑ k=1 ∞ p k =1 . Let U n be the number of occupied urns after N(n) balls have been thrown. Dutko showed in
Classification :
60F05, 60G50
@article{BMMS_2007_30_2_a3,
author = {S. Boonta and K. Neammanee},
title = {Bounds on {Random} {Infinite} {Urn} {Model}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2007},
volume = {30},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2007_30_2_a3/}
}
S. Boonta; K. Neammanee. Bounds on Random Infinite Urn Model. Bulletin of the Malaysian Mathematical Society, Tome 30 (2007) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2007_30_2_a3/