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Karhunen-Loeve expansion for the additive two-sided Brownian motion.
- Source :
- Communications in Statistics: Theory & Methods; 2018, Vol. 47 Issue 13, p3085-3091, 7p
- Publication Year :
- 2018
-
Abstract
- In the paper, Karhunen-Loeve expansion and Pythagorean-type distribution identities for the additive two-sided Brownian motion are derived. As the applications of Karhunen-Loeve expansion, the corresponding Laplace transform and small ball probability for the L<subscript>2</subscript> norm are presented. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03610926
- Volume :
- 47
- Issue :
- 13
- Database :
- Complementary Index
- Journal :
- Communications in Statistics: Theory & Methods
- Publication Type :
- Academic Journal
- Accession number :
- 129702840
- Full Text :
- https://doi.org/10.1080/03610926.2017.1346809