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A characterization of Chebyshev-Cramer expansions

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Abstract

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

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References

  1. GNEDENKO, B.V. and KOLMOGOROV, A.N. Limit Distributions for Sums of Independent Random Variables, Addison-Wesley, Reading, Massachusetts 1954.

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  2. IBRAGIMOV, I.A.: On the Chebyshev-Cramér asymptotic expansions. Theor. Prob. Appl. 12, 455–469, 1967.

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  3. MICHEL, R.: Results on probabilities of moderate deviations. Ann. Prob. 2, 349–353, 1974.

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Authors and Affiliations

  1. Mathematisches Institut der Universität zu Köln, Weyertal 86, 5000, Köln 41

    C. Hipp & R. Michel

Authors
  1. C. Hipp
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  2. R. Michel
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Hipp, C., Michel, R. A characterization of Chebyshev-Cramer expansions. Manuscripta Math 19, 275–282 (1976). https://doi.org/10.1007/BF01170776

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  • DOI: https://doi.org/10.1007/BF01170776

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