Back to Search
Start Over
The ItĂ´ integral and near-martingales in Riesz spaces.
- Source :
-
Communications in Statistics: Theory & Methods . 2023, Vol. 52 Issue 14, p5068-5081. 14p. - Publication Year :
- 2023
-
Abstract
- A new class of the Itô integral for Brownian motion is defined and studied in the framework of Riesz spaces. The stochastic process with respect to this stochastic integral is non-adapted and it is a motivitation to construct near-martingales in Riesz spaces. Furthermore, we state Doob–Meyer decomposition theorem for near-submartingales in Riesz spaces. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03610926
- Volume :
- 52
- Issue :
- 14
- Database :
- Academic Search Index
- Journal :
- Communications in Statistics: Theory & Methods
- Publication Type :
- Academic Journal
- Accession number :
- 163954392
- Full Text :
- https://doi.org/10.1080/03610926.2021.2003401