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- W2187449007 abstract "This statistic has been the object of recent interest in the litterature. Using the saddle point method, we obtain from the generating function of the sum of positions of records in random permutations and Cauchy’s integral formula, asymptotic results in central and non-central regions. In the non-central region, we derive asymptotic expansions generalizing some results by Kortchemski. In the central region, we obtain a limiting distribution related to Dickman’s function. This paper ts within the framework of Analytic Combinatorics." @default.
- W2187449007 created "2016-06-24" @default.
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- W2187449007 date "2013-01-01" @default.
- W2187449007 modified "2023-09-27" @default.
- W2187449007 title "Sum of positions of records in random permutations: A precise analysis" @default.
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