We discuss in detail a procedure to produce two Poisson processes M(t), N(t) associated to positively correlated, self-decomposable, exponential renewals. The main result of this paper is a closed, elementary form for the joint distribution pm,n(s, t) of the pair (M(s), N(t)): this turns out to be instrumental to produce explicit algorithms with applications to option pricing, as well as to credit and insurance risk modeling, that will be discussed in a separate paper

Correlated Poisson processes and self-decomposable laws

CUFARO PETRONI, Nicola;SABINO, PIERGIACOMO;
2015-01-01

Abstract

We discuss in detail a procedure to produce two Poisson processes M(t), N(t) associated to positively correlated, self-decomposable, exponential renewals. The main result of this paper is a closed, elementary form for the joint distribution pm,n(s, t) of the pair (M(s), N(t)): this turns out to be instrumental to produce explicit algorithms with applications to option pricing, as well as to credit and insurance risk modeling, that will be discussed in a separate paper
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/145920
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact