Convergence Theorems for Generalized Functional Sequences of Discrete-Time Normal Martingales
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-15
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The Fock transform recently introduced by the authors in a previous paper is applied to investigate convergenceof generalized functional sequences of a discrete-time normal martingale M.
A necessary and sufficient condition in terms of the Fock transform is obtained for such a sequence to be strongly convergent.
A type of generalized martingales associated with M is introduced and their convergence theorems are established.
Some applications are also shown.
American Psychological Association (APA)
Wang, Caishi& Chen, Jinshu. 2015. Convergence Theorems for Generalized Functional Sequences of Discrete-Time Normal Martingales. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1068252
Modern Language Association (MLA)
Wang, Caishi& Chen, Jinshu. Convergence Theorems for Generalized Functional Sequences of Discrete-Time Normal Martingales. Journal of Function Spaces No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1068252
American Medical Association (AMA)
Wang, Caishi& Chen, Jinshu. Convergence Theorems for Generalized Functional Sequences of Discrete-Time Normal Martingales. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1068252
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068252
