The limit behavior of elementary symmetric polynomials of i. i. d. random variables when their order tends to infinity

DOI10.1214/aop/1022677557zbMath0963.60021OpenAlexW2335333208MaRDI QIDQ1577747

Péter Major

Publication date: 21 June 2001

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1022677557

zbMATH Keywords

limit theorem\(U\)-statisticssaddlepoint method

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (9)

Notes on particular symmetric polynomials with applications ⋮ Dynamics of Zeroes Under Repeated Differentiation ⋮ Marchenko-Pastur law for a random tensor model ⋮ Limit theorems for deviation means of independent and identically distributed random variables ⋮ Conversations with Gábor J. Székely ⋮ Some New Methods for Generating Convex Functions ⋮ Zeros of a random analytic function approach perfect spacing under repeated differentiation ⋮ Remarks on two symmetric polynomials and some matrices ⋮ The Halász–Székely barycenter

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