We consider a suitable fractional jump process describing growth phenomena, that may be viewed as a counting process characterized by 2 kinds of jumps with size 1 and 2. We obtain the probability generating function and the probability law of the process, expressed in terms of the generalized Mittag-Leffler function. The mean, variance, and squared coefficient of variation are also provided.
Fractional growth process with two kinds of jumps
DI CRESCENZO, Antonio;MARTINUCCI, BARBARA;MEOLI, ALESSANDRA
2015
Abstract
We consider a suitable fractional jump process describing growth phenomena, that may be viewed as a counting process characterized by 2 kinds of jumps with size 1 and 2. We obtain the probability generating function and the probability law of the process, expressed in terms of the generalized Mittag-Leffler function. The mean, variance, and squared coefficient of variation are also provided.File in questo prodotto:
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