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.
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页码：203 / 209
页数：7
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