On Edgeworth expansions for dependency-neighborhoods chain structures and Stein's method

DOI10.1007/s00440-003-0271-5zbMath1043.62008OpenAlexW2085912459MaRDI QIDQ1408499

Yosef Rinott, Vladimir I. Rotar'

Publication date: 23 September 2003

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

Full work available at URL: https://doi.org/10.1007/s00440-003-0271-5

zbMATH Keywords

incomplete U statisticsnearest neighbor test

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Applications of graph theory (05C90) Probability distributions: general theory (60E05)

Related Items (7)

Wasserstein-2 bounds in normal approximation under local dependence ⋮ A refined Cramér-type moderate deviation for sums of local statistics ⋮ A Berry-Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains ⋮ Edgeworth expansions for volatility models ⋮ Convergence of densities of some functionals of Gaussian processes ⋮ A new method of normal approximation ⋮ Probabilistic Stirling numbers of the second kind and applications

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