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 / Fabio Grandi. - STAMPA. - 34:(2014), pp. 19-26. (Intervento presentato al convegno Eighth NAUN International Conference on Applied Mathematics, Simulation, Modelling (ASM '14) tenutosi a Firenze (Italia) nel Novembre 2014).

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.
2014
Recent Advances in Applied Mathematics, Modelling and Simulation
19
26
The gamma-transform: A New Approach to the Study of a Finite and Discrete Random Variable / Fabio Grandi. - STAMPA. - 34:(2014), pp. 19-26. (Intervento presentato al convegno Eighth NAUN International Conference on Applied Mathematics, Simulation, Modelling (ASM '14) tenutosi a Firenze (Italia) nel Novembre 2014).
Fabio Grandi
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/343115
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