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[HM] central moments of the binomial distribution
Posted:
Jun 28, 2006 6:03 AM
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Dear members of the list,
a colleague asked me if the central moments of a binomial distribution
B(n;p), considered as polynomials in n and p, have a particular name. I
found discussions of these polynomials, especially by Romanovsky
(Biometrika 15, 1923, 410--412), and, in the context of Bernshtein
polynomials, by G.G. Lorentz (in his book on Bernshtein polynomials of
1953). Up to he fifties, however, as it seems, these polynomials had not
obtained a special name.
Did these polynomials obtain a name since then? Are there any relations
to Appell or Sheffer polynomials?
Thank you in advance, and best wishes
Hans Fischer
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Hans Fischer
Katholische Universitaet Eichstaett
Mathematisch-Geographische Fakultaet
D-85071 Eichstaett
Tel. +49 8421 93 1256
Tel. priv. +49 8421 80919
Fax: +49 8421 2256
hans.fischer@ku-eichstaett.de
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