Itô and Stratonovich integrals on compound renewal processes: the normal/Poisson case

Guido Germano, Mauro Politi, Enrico Scalas, René L. Schilling

Risultato della ricerca: Contributo su rivistaArticolo in rivistapeer review

Abstract

Continuous-time random walks, or compound renewal processes, are pure-jump stochastic processes with several applications in insurance, finance, economics and physics. Based on heuristic considerations, a definition is given for stochastic integrals driven by continuous-time random walks, which includes the Itô and Stratonovich cases. It is then shown how the definition can be used to compute these two stochastic integrals by means of Monte Carlo simulations. Our example is based on the normal compound Poisson process, which in the diffusive limit converges to the Wiener process.

Lingua originaleInglese
pagine (da-a)1583-1588
Numero di pagine6
RivistaCommunications in Nonlinear Science and Numerical Simulation
Volume15
Numero di pubblicazione6
DOI
Stato di pubblicazionePubblicato - giu 2010
Pubblicato esternamente

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