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On ε-independence of sample mean and sample variance

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Stability Problems for Stochastic Models

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1233))

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References

  1. Kagan A.M., Linnik Yu.V., Rao C.R. Characterization Problems in Mathematical Statistics. N.Y. Wiley, 1973.

    Google Scholar 

  2. Hoang Huu Nhu. On the stability of certain characterizations of a normal population. Teor. Verojatnost. i Primenen., v.13, (1968), p. 308–314. English translation: Theory Prob. Appl., v.13, (1968), p. 299–304.

    MathSciNet  Google Scholar 

  3. Gabovich Yu.R. Stability of the characterization of the multivariate normal distribution given by Skitovich — Darmois theorem. In Russian. Zapisky Nauchnych Seminarov LOMI, v.61 (1976), p. 5–16.

    MATH  Google Scholar 

  4. Zinger A.A. On independents samples from normal population. In Russian. Uspechy Mat. Nauk, v.6, Nr.5, (1951), p. 172–175.

    MathSciNet  Google Scholar 

  5. Bednarek-Kozek B., Kozek A. On the robustness of properties characterizing the normal distribution. Zast. Mat. (Applicationes Mathematicae), v.13 (1972) p. 215–230.

    MathSciNet  MATH  Google Scholar 

  6. Klebanov L.B., Yanushkevichius R.V. Stability estimation in S.N. Bernshtein theorem. In Russian. Teor. Verojatnost. i Primen., v.30, Nr.2 (1985), p. 358–360.

    MathSciNet  Google Scholar 

  7. Lukacs E. Stability theorems for characterization by constant regression. Period. Math. Hungar., v.2 (1972), p. 111–128.

    Article  MathSciNet  MATH  Google Scholar 

  8. Yanushkevichius R. On the stability of characterizations of the normal law by the constant regression. In Russian. Litovsk. Mat. Sb., v.21, Nr.2 (1981), p. 215–223.

    Google Scholar 

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Vladimir V. Kalashnikov Boyan Penkov Vladimir M. Zolotarev

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© 1987 Springer-Verlag

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Yanushkevichius, R. (1987). On ε-independence of sample mean and sample variance. In: Kalashnikov, V.V., Penkov, B., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1233. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072727

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  • DOI: https://doi.org/10.1007/BFb0072727

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17204-8

  • Online ISBN: 978-3-540-47394-7

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