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Rates in the CLT for sums of dependent multiindexed random vectors

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Publication:1781661
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DOI10.1023/B:JOTH.0000031880.80540.ACzbMath1071.60013MaRDI QIDQ1781661

A. P. Shashkin, Alexander V. Bulinski

Publication date: 28 June 2005

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)


zbMATH Keywords

convergence ratecentral limit theoremkernel estimatemultivariate random fielddependency conceptpartial sums of dependent random vectors


Mathematics Subject Classification ID

Random fields (60G60) Density estimation (62G07) Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10)


Related Items (4)

Functional limit theorem for solutions to Burgers equation with random initial data ⋮ The normal approximation rate for the drift estimator of multidimensional diffusions ⋮ Dependent Lindeberg central limit theorem and some applications ⋮ A central limit theorem for integrals with respect to random measures







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