Citation:
V. V. Šergin, “On the rate of convergence in the central limit theorem for m-dependent random variables”, Teor. Veroyatnost. i Primenen., 24:4 (1979), 781–794; Theory Probab. Appl., 24:4 (1980), 782–796
\Bibitem{She79}
\by V.~V.~{\v S}ergin
\paper On the rate of convergence in the central limit theorem for $m$-dependent random variables
\jour Teor. Veroyatnost. i Primenen.
\yr 1979
\vol 24
\issue 4
\pages 781--794
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\transl
\jour Theory Probab. Appl.
\yr 1980
\vol 24
\issue 4
\pages 782--796
\crossref{https://doi.org/10.1137/1124090}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979KW11900008}
Linking options:
https://www.mathnet.ru/eng/tvp2897
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Petrauskiene J., Cekanavicius V., “Compound Poisson Approximations for Sums of 1-Dependent Random Variables.”, Lith Math J, 50:3 (2010), 323–336
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Chen L.H.Y., Shao Q.M., “Normal approximation under local dependence”, Annals of Probability, 32:3A (2004), 1985–2028
Paul Doukhan, José R. León, “Asymptotics for theLp-deviation of the variance estimator under diffusion”, ESAIM: PS, 8 (2004), 132
Evarist Giné, David M. Mason, Andrei Yu. Zaitsev, “The \bmL1-norm density estimator process”, Ann. Probab., 31:2 (2003)
J. Sunklodas, Limit Theorems of Probability Theory, 2000, 113
Di Warren, E. Seneta, “Peaks and Eulerian numbers in a random sequence”, Journal of Applied Probability, 33:1 (1996), 101
S. A. Utev, “The central limit theorem for φ-mixing arrays of random variables”, Theory Probab. Appl., 35:1 (1990), 131–139
L. Heinrich, “A method for the derivation of limit theorems for sums of weakly dependent random variables:a survey”, Optimization, 18:5 (1987), 715
Xavier Guyon, Sylvia Richardson, “Vitesse de convergence du th�or�me de la limite centrale pour des champs faiblement d�pendants”, Z. Wahrscheinlichkeitstheorie verw Gebiete, 66:2 (1984), 297
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