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Minimal metrics in the real random variables space

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References

  1. Billingsley P. Convergence of probability measures. New York: Wiley, 1968.

    MATH  Google Scholar 

  2. Dudley R.M. Probability and metrics.-Aarhus Univ. Lect. Notes, 1976, Ser.45.

    Google Scholar 

  3. Hausdorff F. Set theory, 3rd ed. New York, Chelsea, 1962.

    MATH  Google Scholar 

  4. Hoeffding W. Masstabvariante Korrelationstheorie.-Schr. Math. Inst, Univ. Berlin, 1940, B.5, s.181–233.

    Google Scholar 

  5. Rachev S.T. On Hausdorff metric construction in the space of probability measures.-Zapiski naučn. seminarov LOMI, 1979, v.87, p.87–104 (in Russian).

    MathSciNet  MATH  Google Scholar 

  6. Rachev S.T. Minimal metrics in the real valued random variables space.-Soviet Math.Dokl., 1981, v.257, No.5, p.1067–1070.

    MathSciNet  Google Scholar 

  7. Rachev S.T. Minimal metrics in the random variables space.-Pub.Inst.Stat.Paris, 1982, v. XXVII, f.1, p.27–47.

    MathSciNet  MATH  Google Scholar 

  8. Sendov B. Some problems of approximation theory of functions and sets in the Hausdorff metric, Uspehi Matem.Nauk, 1969, v.24, No.5, p.141–173 (in Russian).

    MathSciNet  Google Scholar 

  9. Vallander S.S. Calculation of the Vasserstein distance between probability distributions on the line.-Theor.Prob.Appl. 1973, v.18, 784–786.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Zolotarev V.M. Metric distances in spaces of random variables and their distributions. Mat.USSR Sb., 1976, v.50, No.3, p.373–401.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. Zolotarev V.M. General problems of the stability of mathematical models. Bull.Int.Stat.Inst., 1977, v.XLVII (2), p.382–401.

    MathSciNet  Google Scholar 

  12. Zolotarev V.M. Ideal metrics in the problems of probability theory and mathematical statistics.-Austral.J.Statist., 1979, v.21, No.3, p.193–208.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1983 Springer-Verlag

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Rachev, S.T. (1983). Minimal metrics in the real random variables space. 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/BFb0082069

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  • DOI: https://doi.org/10.1007/BFb0082069

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