A limit theorem for elementary symmetric polynomials of independent random variables

DOI10.1007/BF00532226zbMath0468.60029OpenAlexW21719009MaRDI QIDQ3921897

Gábor J. Székely

Publication date: 1982

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00532226

zbMATH Keywords

symmetric polynomialnormal limit distribution

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (15)

Random permanents and symmetric statistics ⋮ Limit theorems for random permanents with exchangeable structure ⋮ Elementary symmetric polynomials of increasing order ⋮ Random symmetric polynomials ⋮ Marchenko-Pastur law for a random tensor model ⋮ On the Edgeworth expansion for elementary polynomials based on trimmed samples ⋮ Approximation theorems for random permanents and associated stochastic processes ⋮ The scaling mean and a law of large permanents ⋮ Limiting behavior of random permanents ⋮ Strong law of large numbers for \(U\)-statistics of varying order ⋮ On the rate of convergence in a limit theorem for random symmetric polynomials ⋮ Incomplete U -statistics of permanent design ⋮ Spectral asymptotic for the high-dimensional Euler top ⋮ Limiting distributions of random symmetric polynomials of fifth degree ⋮ The Halász–Székely barycenter

Cites Work

• On the elementary symmetric polynomials of independent random variables
• A Class of Statistics with Asymptotically Normal Distribution

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