A NECESSARY AND SUFFICIENT CONDITION FOR THE EXISTENCE OF THE LIMITING PROBABILITY OF A TIE FOR FIRST PLACE

被引：30

作者：

BARYSHNIKOV, Y

EISENBERG, B

STENGLE, G

机构：

[1] UNIV OSNABRUCK,W-4500 OSNABRUCK,GERMANY

[2] LEHIGH UNIV,DEPT MATH 14,BETHLEHEM,PA 18015

来源：

STATISTICS & PROBABILITY LETTERS | 1995年 / 23卷 / 03期

关键词：

TIE; EXISTENCE OF THE LIMITING PROBABILITY; LOGARITHMIC SUMMABILITY; GEOMETRIC DISTRIBUTION; TAUBERIAN THEOREM; HIGHEST SCORE;

D O I：

10.1016/0167-7152(94)00114-N

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页码：203 / 209

页数：7

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