Volume no :1, Issue no: 2, June (2008)

Journal of Algebra, Number Theory: Advances and Applications

A GENERALIZATION OF A COMBINATORIAL IDENTITY WITH APPLICATIONS TO HIGHER BINOMIAL MOMENTS

Author's: Luis González and Angelo Santana
Pages: [75] - [88]
Received Date: May 8, 2009
Submitted by:

Abstract

A well-known combinatorial identity involving sums of integer powers is generalized. This generalization provides a new recurrence relation for the raw moments of the binomial distribution. Further, a similar recurrence relation for the central moments is derived. All these moments are recursively obtained from the corresponding moment of order zero, i.e., the unity.

Keywords

sums of integer powers, combinatorial identity, raw binomial moments, central binomial moments.