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JOURNALS // Zapiski Nauchnykh Seminarov POMI

Zap. Nauchn. Sem. POMI, 2009, Volume 364, Pages 148–165 (Mi znsl3155)

The rate of Gaussian strong approximation for the sums of i.i.d. multidimensional random vectors
A. Yu. Zaitsev

This publication is cited in the following articles:
  1. G. A. Krylova, “The estimation of traffic intensity parameter for a single-channel queueing system with regenerative input flow”, Moscow University Mathematics Bulletin, 77:5 (2022), 242–246  mathnet  crossref  mathscinet  zmath  elib
  2. Lifshits M.A. Nikitin Ya.Yu. Petrov V.V. Zaitsev A.Yu. Zinger A.A., “Toward the History of the Saint Petersburg School of Probability and Statistics. i. Limit Theorems For Sums of Independent Random Variables”, Vestn. St Petersb. Univ.-Math., 51:2 (2018), 144–163  crossref  mathscinet  zmath  isi  scopus
  3. Hiroshi Takahashi, Shuya Kanagawa, Ken-ichi Yoshihara, “Asymptotic Behavior of Solutions of Some Difference Equations Defined by Weakly Dependent Random Vectors”, Stochastic Analysis and Applications, 33:4 (2015), 740  crossref
  4. A. Yu. Zaitsev, “The accuracy of strong Gaussian approximation for sums of independent random vectors”, Russian Math. Surveys, 68:4 (2013), 721–761  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
  5. F. Götze, A. Yu. Zaitsev, “Estimates for the rate of strong approximation in Hilbert space”, Siberian Math. J., 52:4 (2011), 628–638  mathnet  crossref  mathscinet  isi
  6. A. I. Sakhanenko, “A general estimate in the invariance principle”, Siberian Math. J., 52:4 (2011), 696–710  mathnet  crossref  mathscinet  isi
  7. A. Yu. Zaitsev, “Optimal estimates for the rate of strong Gaussian approximation in the infinite dimensional invariance principle”, J. Math. Sci. (N. Y.), 188:6 (2013), 689–693  mathnet  crossref  mathscinet
  8. F. Götze, A. Yu. Zaitsev, “Rates of approximation in the multidimensional invariance principle for sums of i.i.d. random vectors with finite moments”, J. Math. Sci. (N. Y.), 167:4 (2010), 495–500  mathnet  crossref  mathscinet


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