Set-valued Stratonovich integral
Discussiones Mathematicae. Probability and Statistics, Tome 26 (2006) no. 1, pp. 63-81

Voir la notice de l'article provenant de la source Library of Science

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/}
}
TY  - JOUR
AU  - Góralczyk, Anna
AU  - Motyl, Jerzy
TI  - Set-valued Stratonovich integral
JO  - Discussiones Mathematicae. Probability and Statistics
PY  - 2006
SP  - 63
EP  - 81
VL  - 26
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMPS_2006_26_1_a3/
LA  - en
ID  - DMPS_2006_26_1_a3
ER  - 
%0 Journal Article
%A Góralczyk, Anna
%A Motyl, Jerzy
%T Set-valued Stratonovich integral
%J Discussiones Mathematicae. Probability and Statistics
%D 2006
%P 63-81
%V 26
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMPS_2006_26_1_a3/
%G en
%F 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/