Advertisement

On the central limit theorem for the sum of a random number of independent random variables

  • A. Rényi
Article

Keywords

Central Limit Theorem Independent Random Variable Positive Probability Discrete Distribution Normal Distribution Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    F. J. Anscombe, Large-sample theory of sequential estimation,Proc. Cambridge Phil. Soc.,48 (1952), p. 600.MathSciNetCrossRefzbMATHGoogle Scholar
  2. [2]
    A. Rényi, On the asymptotic distribution of the sum of a random number of independent random variables,Acta. Math. Acad. Sci. Hung.,8 (1957), pp. 193–199.CrossRefzbMATHGoogle Scholar
  3. [3]
    W. Doeblin, Sur deux problèmes de M. Kolmogoroff concernant les chaines dénombrables,Bull. Soc. Math. France,66 (1938), pp. 210–220.MathSciNetGoogle Scholar
  4. [4]
    H. Cramér,Mathematical methods of statistics (Princeton, 1956).Google Scholar
  5. [5]
    A. Rényi, On mixing sequences of sets,Acta. Math. Acad. Sci. Hung.,9 (1958), pp. 215–228.CrossRefzbMATHGoogle Scholar
  6. [6]
    A. Kolmogoroff,Grundbegriffe der Wahrscheinlichkeitsrechnung, Ergebnisse der Math, u. Grenzgebiete (Berlin, 1933).Google Scholar
  7. [7]
    G. H. Hardy,Divergent series (Oxford, 1949).Google Scholar

Copyright information

© Akadémiai Kiadó 1960

Authors and Affiliations

  • A. Rényi
    • 1
  1. 1.Budapest

Personalised recommendations