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The asymptotic normality of certain combinatorial distributions

  • Ch. A. Charalambides
Article

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.

Keywords

Asymptotic Formula Asymptotic Normality Negative Binomial Distribution Stirling Number Maclaurin Series 
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Copyright information

© The Institute of Statistical Mathematics 1976

Authors and Affiliations

  • Ch. A. Charalambides
    • 1
  1. 1.University of AthensAthensGreece

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