Limit distributions of V- and U-statistics in terms of multiple stochastic Wiener-type integrals
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Publication:618155
DOI10.1016/j.jmva.2010.09.006zbMath1328.62081OpenAlexW2087645017MaRDI QIDQ618155
Dietmar Ferger, Michael Scholz
Publication date: 14 January 2011
Published in: Journal of Multivariate Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmva.2010.09.006
Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Stochastic integrals (60H05)
Cites Work
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- Limit theorems for \(U\)-processes
- Symmetric statistics, Poisson point processes, and multiple Wiener integrals
- A bounded law of the iterated logarithm for Hilbert space valued martingales and its application to U-statistics
- A note on invariance principles for v. Mises' statistics
- Asymptotic distribution of symmetric statistics
- Weak convergence and empirical processes. With applications to statistics
- Approximation Theorems of Mathematical Statistics
- Mises’ Theorem on the Asymptotic Behavior of Functionals of Empirical Distribution Functions and Its Statistical Applications
- A Class of Statistics with Asymptotically Normal Distribution
- On the Asymptotic Distribution of Differentiable Statistical Functions