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On Approximation of Convolutions by Accompanying Laws in the Scheme of Series

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The problem of approximation of convolutions by accompanying laws in the scheme of series satisfying the infinitesimality condition is considered. It is shown that the quality of approximation depends essentially on the choice of centering constants.

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Authors and Affiliations

  1. St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia

    A. Yu. Zaitsev

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  1. A. Yu. Zaitsev
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Correspondence to A. Yu. Zaitsev.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 408, 2012, pp. 175–186.

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Zaitsev, A.Y. On Approximation of Convolutions by Accompanying Laws in the Scheme of Series. J Math Sci 199, 162–167 (2014). https://doi.org/10.1007/s10958-014-1843-x

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  • DOI: https://doi.org/10.1007/s10958-014-1843-x

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