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Limit theorems in the problems of stability

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Stability Problems for Stochastic Models

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 982))

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References

  1. Polya G. Herleitung des Gausschen fehlergesetzes aus einer functionalgleichung.-Math.Z.1923, B.18, s. 96–108.

    Article  MathSciNet  MATH  Google Scholar 

  2. Prohorov Yu.V., Fiš M. A characteristic property of normal distribution in Hilbert space.-Teorija verojatn i ee primen., 1957, v.2, No. 4, p. 475–477 (in Russian).

    Google Scholar 

  3. Kagan A.M., Linnik Yu.V., Rao S.R. Characterization problems of mathematical statistics. New York: J.Wiley, 1973.

    MATH  Google Scholar 

  4. Zinger A.A., Yanushkevichius R.V. On a theorem of characterization by the coincidence of statistics distribution and it’s stability.-In: Problemy ustoičivosti stohastičeskih modelei: Institute for Systems Studies, 1980, p. 32–46 (in Russian).

    Google Scholar 

  5. Zinger A.A. Yanushkevichius R.V. Stability of one characterization theorem of Ju.V.Linnik.-In: Problemy ustoičivosti stohastičeskih modelei. Moscow: Institute for Systems Studies, 1981, p. 24–30 (in Russian).

    Google Scholar 

  6. Šiganov I.S. Metrical approach to the studies of the Polya’s theorem on a characterization of normal distribution.-In: Problemy ustoičivosti stohastičeskih modelei. Moscow: Institute for Systems Studies, 1981, p. 145–154 (in Russian).

    Google Scholar 

  7. Yanushkevichius R.V. Estimates of stability of normal distribution characterization in the G.Polya’s theorem.-Zapiski Nayčn. Seminarov LOMI, 1979, v, 87, p. 196–205 (in Russian).

    MathSciNet  Google Scholar 

  8. Loève M. Probability theory. D. van Nostrand comp.: Princeton, 1960.

    MATH  Google Scholar 

  9. Yanushkevichius R.V. Estimate of stability of the normal law characterization by the distribution coincidence of the monome and the statistic.-Lit. Mathem. Sb., 1980, v. 20, No. 2, p. 195–206 (in Russian).

    MathSciNet  Google Scholar 

  10. Meshalkin L.D. On the robustness of some characterizations of the normal distribution.-Ann. Math. Statist., 1968, v. 39, No. 5, p. 1747–1750.

    MathSciNet  MATH  Google Scholar 

  11. Petrov V.V. Sums of independent random variables. Moscow: Nauka, 1972, (in Russian).

    MATH  Google Scholar 

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Authors and Affiliations

  1. Vilnius, Russia

    R. Yanushkevichius & O. Yanushkevichiene

Authors
  1. R. Yanushkevichius
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  2. O. Yanushkevichiene
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V. V. Kalashnikov V. M. Zolotarev

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© 1983 Springer-Verlag

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Yanushkevichius, R., Yanushkevichiene, O. (1983). Limit theorems in the problems of stability. In: Kalashnikov, V.V., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 982. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082076

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  • DOI: https://doi.org/10.1007/BFb0082076

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12278-4

  • Online ISBN: 978-3-540-39598-0

  • eBook Packages: Springer Book Archive

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