Laws of large numbers for quadratic forms, maxima of products and truncated sums of i.i.d. random variables

DOI10.1214/aop/1176988388zbMath0833.60030OpenAlexW1997849008MaRDI QIDQ1897186

Joel Zinn, Jack Cuzick, Evarist Giné M.

Publication date: 11 March 1996

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

Full work available at URL: https://doi.org/10.1214/aop/1176988388

zbMATH Keywords

asymptotic boundsstrong lawstruncated sumsquadratic forms of random variablesmaxima of products

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (12)

Necessary and sufficient conditions for the strong law of large numbers for \(U\)-statistics. ⋮ Moment inequalities for sums of products of independent random variables ⋮ An inequality for order statistics ⋮ On integrability in the LIL for degenerate \(U\)-statistics ⋮ Some maximal inequalities for quadratic forms of negative superadditive dependence random variables ⋮ On the functional CLT for partial sums of truncated bounded from below random variables ⋮ On the Kolmogorov inequalities for quadratic forms of dependent uniformly bounded random variables ⋮ Sectorial convergence of \(U\)-statistics ⋮ Necessary and sufficient conditions for the asymptotic distribution of the largest entry of a sample correlation matrix ⋮ Sub-Bernoulli functions, moment inequalities and strong laws for nonnegative and symmetrized \(U\)-statistics ⋮ Strong law of large numbers for multilinear forms ⋮ Equivalent conditions of complete convergence for \(m\)-dimensional products of iid random variables and application to strong law of large numbers

This page was built for publication: Laws of large numbers for quadratic forms, maxima of products and truncated sums of i.i.d. random variables