Set-valued Stratonovich integral
Discussiones Mathematicae. Probability and Statistics, Tome 26 (2006) no. 1, pp. 63-81
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The purpose of the paper is to introduce a set-valued Stratonovich integral driven by a one-dimensional Brownian motion. We discuss the existence of this integral and investigate its properties.
Keywords:
set-valued function, Hukuhara differential, selection of a set-valued map, semimartingale, Stratonovich integral
@article{DMPS_2006_26_1_a3,
author = {G\'oralczyk, Anna and Motyl, Jerzy},
title = {Set-valued {Stratonovich} integral},
journal = {Discussiones Mathematicae. Probability and Statistics},
pages = {63--81},
publisher = {mathdoc},
volume = {26},
number = {1},
year = {2006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMPS_2006_26_1_a3/}
}
Góralczyk, Anna; Motyl, Jerzy. Set-valued Stratonovich integral. Discussiones Mathematicae. Probability and Statistics, Tome 26 (2006) no. 1, pp. 63-81. http://geodesic.mathdoc.fr/item/DMPS_2006_26_1_a3/