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Karhunen–Loeve expansion for the additive detrended Brownian motion.

Authors :
Ai, Xiaohui
Source :
Communications in Statistics: Theory & Methods. 2017, Vol. 46 Issue 16, p8210-8216. 7p.
Publication Year :
2017

Abstract

In this article, we obtain the Karhunen–Loeve expansion and Pythagorean type distribution identities for the additive detrended Brownian motion. As applications, the corresponding Laplace transform and small-deviation asymptotic behavior for theL2norm are given. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03610926
Volume :
46
Issue :
16
Database :
Academic Search Index
Journal :
Communications in Statistics: Theory & Methods
Publication Type :
Academic Journal
Accession number :
123451104
Full Text :
https://doi.org/10.1080/03610926.2016.1177079