Limit theorems for von Mises statistics of a measure preserving transformation

DOI10.1007/s00440-013-0522-zzbMath1306.60007arXiv1109.0635OpenAlexW3105799400MaRDI QIDQ466892

Manfred Denker, Mikhaĭl Iosifovich Gordin

Publication date: 31 October 2014

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.0635

zbMATH Keywords

central limit theoremergodic theoremmartingale approximationmeasure preserving transformationprojective tensor productHoeffding decompositionvon Mises statistic

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Measure-preserving transformations (28D05) Strong limit theorems (60F15) Ergodic theorems, spectral theory, Markov operators (37A30) Probabilistic measure theory (60A10) Spaces of measures, convergence of measures (28A33) Convergence of probability measures (60B10) Measures and integrals in product spaces (28A35)

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