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, Volume 19, Issue 3, pp 275–282 | Cite as

A characterization of Chebyshev-Cramer expansions

  • C. Hipp
  • R. Michel
Article
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Abstract

It is shown that Chebyshev-Cramér expansions are uniquely determined in a wide class of approximating functions.

Keywords

Number Theory Algebraic Geometry Wide Class Topological Group 
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References

  1. [1]
    GNEDENKO, B.V. and KOLMOGOROV, A.N. Limit Distributions for Sums of Independent Random Variables, Addison-Wesley, Reading, Massachusetts 1954.Google Scholar
  2. [2]
    IBRAGIMOV, I.A.: On the Chebyshev-Cramér asymptotic expansions. Theor. Prob. Appl. 12, 455–469, 1967.Google Scholar
  3. [3]
    MICHEL, R.: Results on probabilities of moderate deviations. Ann. Prob. 2, 349–353, 1974.Google Scholar

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • C. Hipp
    • 1
  • R. Michel
    • 1
  1. 1.Mathematisches Institut der Universität zu KölnKöln 41

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