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A. P. Baranov, Yu. A. Baranov

Approximation of moments of arbitrary integer orders by generalised factorial powers

For non-negative integer random variables ξ, we consider approximations of the moments Eξ^m , where m are integers, including negative integers. We find estimates of the difference

where {} are extensions to all integers m of Stirling numbers of the second kind, the functions are the generalised factorial powers, and s is a positive integer.

Discrete Mathematics and Applications, Walter de Gruyter

Print ISSN: 0924-9266
Volume: 15, 04/2005
Pages: 125 - 143

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