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A note on Karhunen–Loève expansions for the demeaned stationary Ornstein–Uhlenbeck process.

Authors :
Ai, Xiaohui
Source :
Statistics & Probability Letters. Oct2016, Vol. 117, p113-117. 5p.
Publication Year :
2016

Abstract

In this paper we obtain the Karhunen–Loève expansion and distribution identity for the demeaned stationary Ornstein–Uhlenbeck process. Some applications are given to small deviation asymptotic behavior for the L 2 norm and Laplace transform for the process. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01677152
Volume :
117
Database :
Academic Search Index
Journal :
Statistics & Probability Letters
Publication Type :
Periodical
Accession number :
116760684
Full Text :
https://doi.org/10.1016/j.spl.2016.05.017