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Non-uniform theorems for discrete measures

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References

  1. T. V. Arak and A. Yu. Zaitsev, Uniform limit theorems for sums of independent random variables,Tr. Mat. Inst. Steklov,174, 1–216 (1986).

    Google Scholar 

  2. H. Bergström, On asymptotic expansions of probability functions,Skand. Aktuarietidskrift,34, 1–33 (1951).

    Google Scholar 

  3. V. Čekanavičius, An approximation of integar-valued measures by generalized Poisson measures, in:Proceedings of the Fifth Vilnius Conference, VSP/Mokslas, Utrecht/Vilnius (1990), pp. 228–237.

  4. P. Franken, Approximation der Verteilungen von Summen unabhängiger nichtnegativer ganzzahliger Zufallgrössen durch Poissonsche Verteilungen,Math. Nachr.,27, 303–340 (1964).

    Google Scholar 

  5. J. Kruopis, Approximations for distributions of sums of lattice random variables. I,Lith. Math. J.,26, 234–244 (1986).

    Google Scholar 

  6. J. Kruopis, Approximations of distributions of sums of lattice random variables. II,Lith. Math. J.,26, 330–339 (1986).

    Google Scholar 

  7. V. V. Petrov,Sums of Independent Random Variables, Berlin-Heidelberg-New York (1975).

  8. A. N. Shiryaev,Probability, Springer-Verlag, Berlin (1984).

    Google Scholar 

  9. J. Šiaulys and V. Čekanavičius, Approximation of distributions of integral additive functions by discrete charges. I,Lith. Math. J.,28, 392–401 (1988).

    Google Scholar 

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Vilnius University, Naugarduko 24, 2006 Vilnius, Lithuania. Published in Lietuvos Matematikos Rinkinys, Vol. 33, No. 2, pp. 149–163, April–June, 1993.

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Čekanavičius, V. Non-uniform theorems for discrete measures. Lith Math J 33, 114–126 (1993). https://doi.org/10.1007/BF00975114

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  • DOI: https://doi.org/10.1007/BF00975114

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