|
This article is cited in 5 scientific papers (total in 5 papers)
Short Communications
Representation of a class of semimartingales as stable integrals
P. A. Zanzotto Dipartimento di Matematica, Università di Pisa, Italy
Abstract:
We characterize the class of semimartingales which can be represented as a stochastic integral with respect to $\alpha$-stable Levy motion. Conditions are formulated in terms of the characteristics of the semimartingales.
Keywords:
semimartingales without continuous martingale part, jump-measure, compensator, strictly $\alpha$-stable Levy processes, stable integrals, representation formulas.
Received: 12.01.1998
Citation:
P. A. Zanzotto, “Representation of a class of semimartingales as stable integrals”, Teor. Veroyatnost. i Primenen., 43:4 (1998), 808–818; Theory Probab. Appl., 43:4 (1999), 666–676
Linking options:
https://www.mathnet.ru/eng/tvp2171https://doi.org/10.4213/tvp2171 https://www.mathnet.ru/eng/tvp/v43/i4/p808
|
|