Strong approximation for set-indexed partial-sum processes, via KMT constructions. II

DOI10.1214/aop/1176989138zbMath0779.60030OpenAlexW2047528902MaRDI QIDQ688075

Emmanuel Rio

Publication date: 19 January 1994

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

Full work available at URL: https://doi.org/10.1214/aop/1176989138

zbMATH Keywords

central limit theoreminvariance principlestrong invariance principlemultivariate empirical processesset-indexed processmetric entropy with inclusion

Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17) Nonparametric inference (62G99)

Related Items (7)

Multidimensional multiscale scanning in exponential families: limit theory and statistical consequences ⋮ Invariance principles for generalized domains of semistable attraction ⋮ Multiscale scanning in inverse problems ⋮ Strong approximation for set-indexed partial sum processes via KMT constructions III ⋮ Metastates in disordered mean-field models: Random field and Hopfield models ⋮ Unnamed Item ⋮ The accuracy of strong Gaussian approximation for sums of independent random vectors

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