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Several remarks on applications of one approach to studies of characterization problems of Polya’s theorem type

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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. Šiganov I.S. Metric approach to the stability investigation of the Polya theorem on a characterization of the normal distribution.-In: Problemy ustoičivosti stohastičeskih modelei. M.: VNIISI, 1981, p.145–154 (in Russian).

    Google Scholar 

  2. Prohorov Ju.V., Fiš M. A characteristic property of the normal distributio in Hilbert space.-Teorija verojatn. i ee primen., 1957, v.2, N 4, p.475–477 (in Russian).

    Google Scholar 

  3. Zolotarev V.M. On the structure of ideal metrics.-In: Problemy ustoičivosti stohastičeskih modelei. M.: VNIISI, 1981, p.30–39 (in Russian).

    Google Scholar 

  4. Zolotarev V.M., Metric distances in spaces of random variables and their distributions.-Matem. Sb., 1976, v.101, N 3, p.416–454 (in Russian).

    MathSciNet  MATH  Google Scholar 

  5. Zolotarev V.M. On pseudomoments.-Teorija verojatn. i ee primen., 1978, v.23, N 2, p.284–294 (in Russian).

    MathSciNet  MATH  Google Scholar 

  6. Zolotarev V.M. Ideal metrics in the problem of approximation of distributions of sums of independent random variables.-Teorija verojatn. i ee primen., 1977, v.22, N 3, p.449–469 (in Russian).

    MathSciNet  MATH  Google Scholar 

  7. Jurinskii V.V. The smoothing inequality for estimating the Levy — Prohorov distance.-Teorija verojatn. i ee primen., 1975, v.20, N 1, p.3–12 (in Russian).

    MathSciNet  MATH  Google Scholar 

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

    MATH  Google Scholar 

  9. Zinger A.A. Yanushkevichius R.V. The stability of one characterizational theorem of Ju.V.Linnik.-In: Problemy ustoičivosti stohastičeskih modelei. M.: VNIISI, 1981, p.24–30 (in Russian).

    Google Scholar 

  10. Šiganov I.S. Some estimates dealing with the stability of H.Cramer’s theorem.-Zapiski naučn. semin. LOMI, 1979, v.87, p.187–195 (in Russian).

    Google Scholar 

  11. Zolotarev V.M. General problems of the stability of mathematical models.-Bull. Int. Statist. Inst., 1977, v.47, N 2, p.382–401.

    MathSciNet  Google Scholar 

  12. Zolotarev V.M., Ideal metrics in the problems of the probability theory and mathematical statistics.-Austral J.Statist., 1979, v.21, N 3, p.193–208.

    Article  MathSciNet  MATH  Google Scholar 

  13. Stoyan D. Uber einige Eigenschaften monotoner stochastischer Processe.-Math. Nachr., 1972, B.52, S.21–34.

    Article  MathSciNet  MATH  Google Scholar 

  14. Stoyan D. Ein Stetiskeitssatz fur einlinige Wartesysteme der Bedeinungstheorie.-Math. Operationsforsch. Statist. Ser.Statist., 1972, B.3, S.103–111.

    Article  MathSciNet  Google Scholar 

  15. Gnedenko B. Sur la distribution limite du terme maximim d’une serie aleatoire.-Ann.Math., 1943, v.44, p.423–453.

    Article  MathSciNet  MATH  Google Scholar 

  16. Shimizu R. On the stability of characterizations of the exponential distribution.-Inst. Statist.Math., Research Memorandum N 195, 1980, p.1–13.

    Article  MATH  Google Scholar 

  17. Shimizu R. Functional equation with an error term and the stability of some characterizations of the exponential distribution.-Ann.Inst. Statist.Math., 1980, N 32, p.1–16.

    Article  MathSciNet  MATH  Google Scholar 

  18. Shimizu R., Davies L. On the stability of characterization of non-normal stable distribution. — In: Proceedings of the International Summer School on Statistical Distributions in Scientific Work. Trieste, 1980.

    Google Scholar 

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Authors and Affiliations

  1. Moscow, Russia

    I. Šiganov

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  1. I. Šiganov
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V. V. Kalashnikov V. M. Zolotarev

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© 1983 Springer-Verlag

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Šiganov, I. (1983). Several remarks on applications of one approach to studies of characterization problems of Polya’s theorem type. 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/BFb0082073

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  • DOI: https://doi.org/10.1007/BFb0082073

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12278-4

  • Online ISBN: 978-3-540-39598-0

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