Rate of convergence in CLT on stratified groups

DOI10.1016/0047-259X(91)90050-CzbMath0746.60011OpenAlexW2024446022MaRDI QIDQ1175673

Gyula Pap

Publication date: 25 June 1992

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(91)90050-c

zbMATH Keywords

rate of convergencemoment conditionssimply connected nilpotent Lie groupGaussian semigrouppseudomoment

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Convergence of probability measures (60B10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (2)

The accuracy of Gaussian approximations in nilpotent Lie groups ⋮ The local limit theorem on nilpotent Lie groups

Cites Work

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• Dependence of the Berry-Esseen estimate on the dimension
• Normal approximation - some recent advances
• Absolute continuity, singularity, and supports of Gauss semigroups on a Lie group
• Berry-Esseen estimates in Hilbert space and an application to the law of the iterated logarithm
• Nonuniform estimate of the rate of convergence in the CLT with stable limit distribution
• Hypoelliptic second order differential equations
• Sharp pointwise estimate for the kernels of the semigroup generated by sums of even powers of vector fields on homogeneous groups
• [https://portal.mardi4nfdi.de/wiki/Publication:4176727 Th�or�me de la limite centrale sur les groupes nilpotents]
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• On the central limit theorem in R k

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