On the weak limits of elementary symmetric polynomials

DOI10.1214/aop/1176992537zbMath0601.60026OpenAlexW2094398666MaRDI QIDQ1081192

A. J. van Es

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1214/aop/1176992537

zbMATH Keywords

U-statisticsweak limits of elementary symmetric polynomials of i.i.d. rv's

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items (5)

Elementary symmetric polynomials of increasing order ⋮ Asymptotic theory of U-statistics ⋮ On the Edgeworth expansion for elementary polynomials based on trimmed samples ⋮ Weak invariance principles for weighted \(U\)-statistics ⋮ The Halász–Székely barycenter

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