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Bounds on stability of the decomposition of the normal law in the semigroup of spherically symmetric distributions

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Literature cited

  1. V. M. Zolotarev, “On stability of the decomposition of the normal law into components,” Teor. Veroyatn. Primen.,13, No. 4, 738–742 (1968).

    Google Scholar 

  2. Yu. V. Linnik and I. V. Ostrovskii, Decompositions of Random Variables and Vectors [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  3. V. V. Senatov, “On refinement of stability bounds for the theorem of H. Cramer,” Zap. Nauch. Sem. LOMI,16, 125–134 (1976).

    Google Scholar 

  4. N. I. Akhiezer, The Classical Problem of Moments [in Russian], Nauka, Moscow (1961).

    Google Scholar 

  5. G. Watson, The Theory of Bessel Functions [Russian translation], IL, Moscow (1949).

    Google Scholar 

  6. I. V. Ostrovskii, “A description of the class I0 in one special semigroup of probability measures,” Mathematical Physics and Functional Analysis, Proc. FTINT AN UkrSSR [in Russian], No. 4 (1973).

  7. E. Lukacs, Characteristic Functions [Russian translation], Nauka, Moscow (1979).

    Google Scholar 

  8. S. Bochner, Lectures on Fourier Integrals [Russian translation], Nauka, Moscow (1962).

    Google Scholar 

  9. G. P. Chistyakov, “On accuracy of estimates in theorems on stability of normal distribution and Poisson distribution,” Teor. Funktsii, Funkts. Anal. Prilozhen., No. 26, 119–128 (1975).

    Google Scholar 

  10. V. M. Zolotarev, “Integral transformations of distributions and estimates of parameters of multidimensional spherically symmetric stable laws,” in: Contributions to Probability, Academic Press, NY (1981), pp. 283–305.

    Google Scholar 

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Authors
  1. L. B. Golinskii
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Translated from Problemy Ustoichivosti Stokhasticheskikh Modelei — Trudy Seminara, pp. 25–42, 1985.

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Golinskii, L.B. Bounds on stability of the decomposition of the normal law in the semigroup of spherically symmetric distributions. J Math Sci 40, 467–481 (1988). https://doi.org/10.1007/BF01083640

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  • DOI: https://doi.org/10.1007/BF01083640

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