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- W4244739862 abstract "Given n independent, identically distributed random variables, let ρ n denote the probability that the maximum is unique. This probability is clearly unity if the distribution of the random variables is continuous. We explore the asymptotic behavior of the ρ n 's in the case of geometric random variables. We find a function Φsuch that ( ρ n – Φ( n )) → 0 as n →∞. In particular, we show that ρ n does not converge as n →∞. We derive a related asymptotic result for the expected value of the maximum of the sample. These results arose out of a random depletion model due to Bajaj, which was the original motivation for this paper and which is included." @default.
- W4244739862 created "2022-05-12" @default.
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- W4244739862 date "1990-09-01" @default.
- W4244739862 modified "2023-09-26" @default.
- W4244739862 title "On the maximum and its uniqueness for geometric random samples" @default.
- W4244739862 doi "https://doi.org/10.1017/s0021900200039140" @default.
- W4244739862 hasPublicationYear "1990" @default.
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