Citation:
V. V. Ulyanov, “Asymptotic expansions for the distributions of sums of independent
random variables in H”, Teor. Veroyatnost. i Primenen., 31:1 (1986), 31–46; Theory Probab. Appl., 31:1 (1987), 25–39
\Bibitem{Uly86}
\by V.~V.~Ulyanov
\paper Asymptotic expansions for the distributions of sums of independent
random variables in $H$
\jour Teor. Veroyatnost. i Primenen.
\yr 1986
\vol 31
\issue 1
\pages 31--46
\mathnet{http://mi.mathnet.ru/tvp1589}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=836950}
\zmath{https://zbmath.org/?q=an:0625.60045}
\transl
\jour Theory Probab. Appl.
\yr 1987
\vol 31
\issue 1
\pages 25--39
\crossref{https://doi.org/10.1137/1131002}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1987G554300002}
Linking options:
https://www.mathnet.ru/eng/tvp1589
https://www.mathnet.ru/eng/tvp/v31/i1/p31
This publication is cited in the following 10 articles:
Moritz Jirak, Martin Wahl, “Quantitative limit theorems and bootstrap approximations for empirical spectral projectors”, Probab. Theory Relat. Fields, 2024
Sagak A. Ayvazyan, Vladimir V. Ulyanov, Springer Proceedings in Mathematics & Statistics, 425, Foundations of Modern Statistics, 2023, 225
Jianjun Xu, Wenquan Cui, “A new RKHS-based global testing for functional linear model”, Statistics & Probability Letters, 182 (2022), 109277
S. G. Bobkov, V. V. Ulyanov, “The Chebyshev–Edgeworth correction in the central limit theorem for integer-valued independent summands”, Theory Probab. Appl., 66:4 (2022), 537–549
Yasunori Fujikoshi, Vladimir V. Ulyanov, SpringerBriefs in Statistics, Non-Asymptotic Analysis of Approximations for Multivariate Statistics, 2020, 117
Goetze F. Naumov A. Spokoiny V. Ulyanov V., “Large Ball Probabilities, Gaussian Comparison and Anti-Concentration”, Bernoulli, 25:4A (2019), 2538–2563
Goetze F. Naumov A. Ulyanov V., “Asymptotic Analysis of Symmetric Functions”, J. Theor. Probab., 30:3 (2017), 876–897
Mielkaitis E., Paulauskas V., “Rates of Convergence in the CLT for Linear Random Fields”, Lith Math J, 51:2 (2011), 233–250
F.A. Aliev, L. Ozbek, “Evaluation of convergence rate in the central limit theorem for the Kalman filter”, IEEE Trans. Automat. Contr., 44:10 (1999), 1905
Vidmantas Bentkus, Friedrich G�tze, Ri?ardas Zitikis, “Asymptotic expansions in the integral and local limit theorems in banach spaces with applications to ?-statistics”, J Theor Probab, 6:4 (1993), 727
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