Characterization Theorems for Generalized Functionals of Discrete-Time Normal Martingale
We aim at characterizing generalized functionals of discrete-time normal martingales. Let M=(Mn)n∈N be a discrete-time normal martingale that has the chaotic representation property. We first construct testing and generalized functionals of M with an appropriate orthonormal basis for M’s square inte...
Saved in:
Main Authors: | Caishi Wang, Jinshu Chen |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2015-01-01
|
Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2015/714745 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Convergence Theorems for Generalized Functional Sequences of Discrete-Time Normal Martingales
by: Caishi Wang, et al.
Published: (2015-01-01) -
Quantum Stochastic Cable Equation Acting on Functionals of Discrete-Time Normal Martingales
by: Yuling Tang, et al.
Published: (2019-01-01) -
Local asymptotic normality of statistical models of discrete martingales
by: Vaidotas Kanišauskas
Published: (2023-11-01) -
Convergence of Locally Square Integrable Martingales to a Continuous Local Martingale
by: Andriy Yurachkivsky
Published: (2011-01-01) -
On vector-valued Hardy martingales and a generalized Jensen's inequality
by: Annela R. Kelly, et al.
Published: (2003-01-01)