Journal of Soviet Mathematics

, Volume 41, Issue 1, pp 882–886 | Cite as

Method of differential equations for the Renyi statistics

  • A. A. Makarov
Probabilistic-Statistical Methods


Differential Equation 
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Literature cited

  1. 1.
    A. Renyi, “On the theory of order statistics,” Acta Math. Acad. Sci. Hung.,4 (1953).Google Scholar
  2. 2.
    P. Billingsley, Convergence of Probability Measures, Wiley, New York (1968).Google Scholar
  3. 3.
    A. D. Ventsel', Course of the Theory of Stochastic Processes [in Russian], Nauka, Moscow (1975).Google Scholar
  4. 4.
    G. A. Nesenenko, “On the asymptotics of the Gree function of the heat equation with a small parameter,” Mat. Sb.,87, No. 2 (1972).Google Scholar
  5. 5.
    V. I. Smirnov, Course on Higher Mathematics [in Russian], Vol. 4, Gostekhizdat, Moscow (1953).Google Scholar
  6. 6.
    N. G. de Bruijn, Asymptotic Methods in Analysis, 3rd edn., North-Holland, Amsterdam (1970).Google Scholar
  7. 7.
    G. A. Nesenko and Yu. N. Tryurin, “Asymptotics of the Kolmogorov statistics for a parametric family,” Dokl. Akad. Nauk SSSR,239, No. 6 (1978).Google Scholar

Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • A. A. Makarov
    • 1
  1. 1.Moscow UniversityUSSR

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