On conditions for convergence of the densities of smoothed distributions in the central limit theorem

DOI10.1007/BF02104673zbMath0881.60021MaRDI QIDQ1358029

K. V. Chumachenko, Aleksandr Ivanovich Sakhanenko

Publication date: 10 February 1998

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

characteristic functioninequalityconvergence ratecentral limit theoremBerry-Esseen inequalityProkhorov distancesmoothed distribution

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10)

Cites Work

• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
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