23 citations · 47 across the 14 of their papers we have counts for
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math.PR2008
Translated Poisson approximation for Markov chains
A. D. Barbour, Torgny Lindvall
The paper is concerned with approximating the distribution of a sum W of n integer valued random variables Y_i, whose distributions depend on the state of an underlying Markov chai…
math.PR2008★ 1 cited
Small counts in the infinite occupancy scheme
A. D. Barbour, A. V. Gnedin
The paper is concerned with the classical occupancy scheme with infinitely many boxes, in which balls are thrown independently into boxes , with probability of h…
math.PR2008★ 9 cited
Laws of large numbers for epidemic models with countably many types
A. D. Barbour, M. J. Luczak
In modeling parasitic diseases, it is natural to distinguish hosts according to the number of parasites that they carry, leading to a countably infinite type space. Proving the ana…