Pathwise integration with respect to paths of finite quadratic variation
We study a pathwise integral with respect to paths of finite quadratic variation, defined as the limit of non-anticipative Riemann sums for gradient-type integrands. We show that the integral satisfies a pathwise isometry property, analogous to the well-known Ito isometry for stochastic integrals. T...
Main Authors: | Ananova, A, Cont, R |
---|---|
Formato: | Journal article |
Publicado: |
Elsevier
2016
|
Títulos similares
-
On pathwise quadratic variation for càdlàg functions
por: Chiu, H, et al.
Publicado: (2018) -
Pathwise integration and change of variable formulas for continuous
paths with arbitrary regularity
por: Cont, R, et al.
Publicado: (2019) -
Quadratic variation and quadratic roughness
por: Cont, R, et al.
Publicado: (2022) -
Existence of Lévy's area and pathwise integration
por: Imkeller, P, et al.
Publicado: (2015) -
Local times for typical price paths and pathwise Tanaka formulas
por: Perkowski, N, et al.
Publicado: (2016)