September 2016 Multivariate fractional Poisson processes and compound sums
Luisa Beghin, Claudio Macci
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Adv. in Appl. Probab. 48(3): 691-711 (September 2016).

Abstract

In this paper we present multivariate space-time fractional Poisson processes by considering common random time-changes of a (finite-dimensional) vector of independent classical (nonfractional) Poisson processes. In some cases we also consider compound processes. We obtain some equations in terms of some suitable fractional derivatives and fractional difference operators, which provides the extension of known equations for the univariate processes.

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Luisa Beghin. Claudio Macci. "Multivariate fractional Poisson processes and compound sums." Adv. in Appl. Probab. 48 (3) 691 - 711, September 2016.

Information

Published: September 2016
First available in Project Euclid: 19 September 2016

zbMATH: 1351.60045
MathSciNet: MR3568887

Subjects:
Primary: 60G22 , 60G52
Secondary: 26A33 , 33E12

Keywords: Conditional independence , Fox‒Wright function , fractional differential equation , random time-change

Rights: Copyright © 2016 Applied Probability Trust

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Vol.48 • No. 3 • September 2016
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