A general method that can be used for the study of a discrete and finite random variable is presented. The method is based on the introduction of a transform of the probability density function, called gamma-transform. A formula for computing the factorial moments directly from the gamma-transform is derived. Moreover, it is shown how the gamma-transform can be simply derived owing to its physical meaning for several combinatorial problems. Examples and applications relevant for computer science are provided.
The gamma-transform: A New Approach to the Study of a Finite and Discrete Random Variable
GRANDI, FABIO
2014
Abstract
A general method that can be used for the study of a discrete and finite random variable is presented. The method is based on the introduction of a transform of the probability density function, called gamma-transform. A formula for computing the factorial moments directly from the gamma-transform is derived. Moreover, it is shown how the gamma-transform can be simply derived owing to its physical meaning for several combinatorial problems. Examples and applications relevant for computer science are provided.File in questo prodotto:
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