Skip to main content
Log in

Distribution of independent random vectors whose sum is approximately normal

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

  1. N. A. Sapogov, “On independent terms of a sum of random variables, approximately normally distributed,” Vestn. Gos. Leningr. Univ. Mat. Mekh. Astron., No. 19, 78–105 (1959).

    Google Scholar 

  2. S. G. Maloshevskii, “Unimprovability of N. A. Sapogov's result in the stability problem of H. Cramér's theorem,” Teor. Veroyatn. Primen.,13, No. 3, 522–525 (1968).

    Google Scholar 

  3. G. P. Chistyakov, “On the sharpness of the estimates in the stability of the decompositions of a normal distribution and a Poisson distribution,” Teor. Funktsii Funktsional. Anal. Prilozhen. (Kharkov), No. 26, 119–128 (1975).

    Google Scholar 

  4. Yu. V. Linnik (Ju. V. Linnik) and I. V. Ostrovskii, Decomposition of Random Variables and Vectors, Am. Math. Soc., Providence (1977).

    Google Scholar 

  5. L. A. Aizenberg and Sh. A. Dautov, “Holomorphic functions of several complex variables with nonnegative real part. Traces of holomorphic and pluriharmonic functions on the Shilov boundary,” Mat. Sb.,99 (141), No. 3 (11), 342–355 (1976).

    Google Scholar 

  6. F. R. Gantmakher (Gantmacher), The Theory of Matrices, Vols. I and II, Chelsea, New York (1959).

    Google Scholar 

  7. S. M. Sadikova, “Two-dimensional analogues of Esseen's inequality with application to the central limit theorem,” Teor. Veroyatn. Primen.,11, No. 3, 369–380 (1966).

    Google Scholar 

  8. N. G. Gamkrelidze, “Esseen's inequality for multidimensional distribution functions,” Teor. Veroyatn. Primen.,22, No. 4, 897–900 (1977).

    Google Scholar 

Download references

Authors

Additional information

Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 46, pp. 27–39, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Golinskii, L.B. Distribution of independent random vectors whose sum is approximately normal. J Math Sci 48, 515–525 (1990). https://doi.org/10.1007/BF01095619

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01095619

Keywords

Navigation