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 → ∞, the limiting probability of a tie for the highest score exists if and only if P(X = j)/P(X > j) → 0 as j → ∞.
Original language | English (US) |
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Pages (from-to) | 203-209 |
Number of pages | 7 |
Journal | Statistics and Probability Letters |
Volume | 23 |
Issue number | 3 |
DOIs | |
State | Published - May 15 1995 |
Externally published | Yes |
Keywords
- Existence of the limiting probability
- Geometric distribution
- Highest score
- Logarithmic summability
- Tauberian theorem
- Tie
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty