Samples of geometric random variables with multiplicity constraints
نویسندگان
چکیده
We investigate the probability that a sample Γ = (Γ1,Γ2, . . . ,Γn) of independent, identically distributed random variables with a geometric distribution has no elements occurring exactly j times, where j belongs to a specified finite ‘forbidden set’ A of multiplicities. Specific choices of the set A enable one to determine the asymptotic probabilities that such a sample has no variable occuring with multiplicity b, or which has all multiplicities greater than b, for any fixed integer b ≥ 1.
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