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

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Author Info
Baryshnikov, Yuliy
Eisenberg, Bennett
Stengle, Gilbert
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].

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File URL: http://www.sciencedirect.com/science/article/B6V1D-40D5WD1-1/2/c1200c0c5fd66f240739b7c08e4fadb9
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Publisher Info
Article provided by Elsevier in its journal Statistics & Probability Letters.

Volume (Year): 23 (1995)
Issue (Month): 3 (May)
Pages: 203-209
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Handle: RePEc:eee:stapro:v:23:y:1995:i:3:p:203-209

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Related research
Keywords: Tie Existence of the limiting probability Logarithmic summability Geometric distribution Tauberian theorem Highest score;

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This page was last updated on 2010-1-25.

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