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

Article ID Journal Published Year Pages File Type
1151534 Statistics & Probability Letters 2016 5 Pages PDF
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 L2L2 norm and Laplace transform for the process.

Keywords
Small deviationLaplace transform
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Preview
A note on Karhunen–Loève expansions for the demeaned stationary Ornstein–Uhlenbeck process
Authors
Xiaohui Ai,
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Journal
Statistics & Probability Letters
Journal: Statistics & Probability Letters
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