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A rate for the Erdős-Turán law


Barbour, A D; Tavaré, S (1994). A rate for the Erdős-Turán law. Combinatorics, Probability & Computing, 3(2):167-176.

Abstract

The Erdős-Turán law gives a normal approximation for the order of a randomly chosen permutation of n objects. In this paper, we provide a sharp error estimate for the approximation, showing that, if the mean of the approximating normal distribution is slightly adjusted, the error is of order log−1/2n.

Abstract

The Erdős-Turán law gives a normal approximation for the order of a randomly chosen permutation of n objects. In this paper, we provide a sharp error estimate for the approximation, showing that, if the mean of the approximating normal distribution is slightly adjusted, the error is of order log−1/2n.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:1994
Deposited On:04 Mar 2010 11:10
Last Modified:05 Apr 2016 13:28
Publisher:Cambridge University Press
ISSN:0963-5483
Publisher DOI:https://doi.org/10.1017/S0963548300001097

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