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On the central limit theorem in R k

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Publication:5576588
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DOI10.1007/BF00537517zbMath0184.41303OpenAlexW2913167597MaRDI QIDQ5576588

Harald Bergström

Publication date: 1969

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00537517

zbMATH Keywords

probability theory



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Random walks on discrete groups of polynomial volume growth, The accuracy of the normal approximation for estimates of vector parameters, Rate of convergence in CLT on stratified groups, Multivariate distributions: inequalities and limit theorems, Berry-Esseen-type inequality for a special class of distributions, On approximating the distributions of Friedman's \(\chi^2_r\) and related statistics, On the large time behavior of the heat kernels of quasiperiodic differential operators, On the joint distribution of pearson's X2statistics



Cites Work

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  • Multi-dimensional integral limit theorems
  • Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
  • On the central limit theorem in 𝑅_{𝑘}
  • Berry-Esseen bounds for the multi-dimensional central limit theorem
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