The asymptotic distributions of incomplete U-statistics

DOI10.1007/BF00531887zbMath0523.62022MaRDI QIDQ3673854

Svante Janson

Publication date: 1984

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

zbMATH Keywords

normalgeneralized U-statisticsnon-random samplingasymptotic distributions of incomplete U-statisticstest of independence of circular random variables

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20)

Related Items

Incomplete generalized \(L\)-statistics, Asymptotic theory of U-statistics, On coupling constructions and rates in the CLT for dependent summands with applications to the antivoter model and weighted \(U\)-statistics, Distributed inference for two‐sample U‐statistics in massive data analysis, Minimum variance rectangular designs for U-statistics., A class of asymptotically normal degenerate quasi \(U\)-statistics, Sizes of simultaneous core partitions, Unnamed Item, A central limit theorem for incomplete U-statistics over triangular arrays, Weakly interacting particle systems on inhomogeneous random graphs, Two‐stage U‐statistics for Hypothesis Testing, Approximating high-dimensional infinite-order \(U\)-statistics: statistical and computational guarantees, Randomized incomplete \(U\)-statistics in high dimensions, Stein's method of exchangeable pairs in multivariate functional approximations, Incomplete interdirections and lift-interdirections, Incomplete U -statistics of permanent design, Exact and approximate runs distributions, On estimation and testing goodness of fit for \(m\)-dependent stable sequences, The asymptotic distributions of incomplete U-statistics, The exact and asymptotic distribution of overlapping success runs, Affine-equivariant inference for multivariate location under \({L_p}\) loss functions, On the consistency of incomplete U-statistics under infinite second-order moments, Weak invariance principles for weighted \(U\)-statistics, Stratified incomplete local simplex tests for curvature of nonparametric multiple regression, The asymptotic distributions of generalized U-statistics with applications to random graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic distribution of symmetric statistics
• Reduced U-statistics and the Hodges-Lehmann estimator
• The asymptotic distributions of incomplete U-statistics
• ORTHOGONAL EXPANSIONS AND U-STATISTICS
• Some properties of incomplete U-statistics
• On sampling from a finite set of independent random variables
• Goodness-of-fit tests on a circle. II
• A Class of Statistics with Asymptotically Normal Distribution