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EnglishA 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.
| Titolo: | The gamma-transform: A New Approach to the Study of a Finite and Discrete Random Variable |
| Autore/i: | GRANDI, FABIO |
| Autore/i Unibo: | |
| Anno: | 2014 |
| Serie: | |
| Titolo del libro: | Recent Advances in Applied Mathematics, Modelling and Simulation |
| Pagina iniziale: | 19 |
| Pagina finale: | 26 |
| 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. |
| Data stato definitivo: | 26-nov-2015 |
| Appare nelle tipologie: | 4.01 Contributo in Atti di convegno |
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