A necessary and sufficient condition for the existence of the limiting probability of a tie for first place

Yuliy Baryshnikov, Bennett Eisenberg and Gilbert Stengle

Statistics & Probability Letters, 1995, vol. 23, issue 3, 203-209

Abstract: Suppose that the scores of n players are unbounded, independent, integer valued random variables equal in distribution to X. We show that as n --> [infinity], the limiting probability of a tie for the highest score exists if and only if P(X = j)/P(X > j) --> 0 as j --> [infinity].

Keywords: Tie; Existence; of; the; limiting; probability; Logarithmic; summability; Geometric; distribution; Tauberian; theorem; Highest; score (search for similar items in EconPapers)
Date: 1995
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Citations: View citations in EconPapers (13)

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