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The asymptotic normality of certain combinatorial distributions

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Summary

The numbersC(m, n, s) and |C(m, n, −s)|,s>0, appearing in then-fold convolution of truncated binomial and negative binomial distributions, respectively, are shown to be asymptotically normal. Moreover a concavity property for these numbers is concluded.

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Authors and Affiliations

  1. University of Athens, Athens, Greece

    Ch. A. Charalambides

Authors
  1. Ch. A. Charalambides
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Charalambides, C.A. The asymptotic normality of certain combinatorial distributions. Ann Inst Stat Math 28, 499–506 (1976). https://doi.org/10.1007/BF02504765

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  • DOI: https://doi.org/10.1007/BF02504765

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