Stochastic integration with respect to a sequence of semimartingales

Marzia De Donno; Maurizio Pratelli

doi:10.1007/978-3-540-35513-7_10

Stochastic integration with respect to a sequence of semimartingales

Marzia De Donno, Maurizio Pratelli

University of Pisa

Risultato della ricerca: Contributo in libro › Chapter

6 Citazioni (Scopus)

Abstract

We propose a theory of stochastic integration with respect to a sequence of semimartingales. We show that, with our definition, the stochastic integral keeps some good properties of the integral with respect to a finite-dimensional semimartingale, such as invariance with respect to a change in probability and the so-called “Mémin’s theorem”, but it also presents some “bad properties”, which will be pointed out by some examples.

Lingua originale	English
Titolo della pubblicazione ospite	Lecture Notes in Mathematics. Seminaire de Probabilites XXXIX
Pagine	121-137
Numero di pagine	17
Volume	1874
DOI	https://doi.org/10.1007/978-3-540-35513-7_10
Stato di pubblicazione	Pubblicato - 2006

Keywords

infinite-dimensional stochastic integration, semimartingales

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10.1007/978-3-540-35513-7_10

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Stochastic integration with respect to a sequence of semimartingales

Abstract

Keywords

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