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Karhunen-Loève Expansion for the Second Order Detrended Brownian Motion

Based on the norm in the Hilbert Space L2[0,1], the second order detrended Brownian motion is defined as the orthogonal component of projection of the standard Brownian motion into the space spanned by nonlinear function subspace. Karhunen-Loève expansion for this process is obtained together with t...

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Autori principali: Yongchun Zhou, Xiaohui Ai, Minghao Lv, Boping Tian
Natura: Artigo
Lingua:Inglês
Pubblicazione: Wiley 2014-01-01
Serie:Abstract and Applied Analysis
Accesso online:http://dx.doi.org/10.1155/2014/457051
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