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On the stability of characterizations of the unit distribution

  • L. L. Petrova
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 982)

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References

  1. 1.
    Zolotarev V.M. On the problem of the stability of the decomposition of the normal distribution on components.-Teorija verojatn. i ee primen., 1968, v.13, N 4, p.738–742 (in Russian).MathSciNetzbMATHGoogle Scholar
  2. 2.
    Mačis Ju.Ju. On the stability of decomposition of the unit distribution function.-Teorija verojatn. i ee primen., 1969, v.14, N 4, p.715–718 (in Russian).zbMATHGoogle Scholar
  3. 3.
    Yanushkevichius R.V. On the estimations of the measure of the stability of decompositions of probability distributions on components.-Teorija verojatn. i ee primen., 1978, v.23, N 3, p.527–539 (in Russian).MathSciNetGoogle Scholar
  4. 4.
    Gabovich Ju.R. The stability of some characterizations of the normal distribution by the independency of statistics, Kandidate dissertation. M.: MFTI, 1974 (in Russian).Google Scholar
  5. 5.
    Gabovich Ju.R., Mačis Ju.Ju. On the stability of a characterization of the degenerate distribution.-Lit.Matem.Sb., 1976, v.16, N 2, p.212–213 (in Russian)Google Scholar
  6. 6.
    Yanushkevichius R.V. The investigation of the stability in some problems of distributions characterization. Kandidate dissertation. Vilnius: VGU, 1978 (in Russian).Google Scholar
  7. 7.
    Yanushkevichius R.V. The estimations of the stability of characterization of the normal distribution in the G.Polya theorem.-Zapiski naučn.semin. LOMI, 1978, v.87, p.196–205 (in Russian).MathSciNetGoogle Scholar
  8. 8.
    Lukacs E. Stability theorems for characterizations of the normal and of the degenerate distributions.-In: Asymptotic theory of statistical tests and estimation. N.Y.: Academic Press, 1980, p.205–229.Google Scholar
  9. 9.
    Yanushkevichius R.V. On the stability of the characterization by the constancy regression property.-Lit.Matem.Sb., 1981, v.21, N 2, p.215–223 (in Russian).MathSciNetGoogle Scholar
  10. 10.
    Yanushkevichius R.V. On the question of the stability of a characterization of the degenerate distribution.-Lit.Matem.Sb., 1982, v.22, N 4 (to appear in Russian).Google Scholar
  11. 11.
    Kagan A.M., Linnik Ju.V., Rao C.R. Characterization problems in mathematical statistics. M.: Nauka, 1972.zbMATHGoogle Scholar
  12. 12.
    Zolotarev V.M. Estimations of the difference between distributions in the Levy metric.-Trydy Steklov Matem.Inst., 1971, v.112, p.224–231 (in Russian).MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • L. L. Petrova
    • 1
  1. 1.MoscowRussia

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