On extrapolation of transformations of random processes disturbed by the white noise

We consider the problem of linear mean square optimal estimation of transformation $A\xi = \int_0^{\infty}a(t)\xi (t) dt$ of a stationary random process $\xi (t)$  in observations of process $\xi (t)+\eta(t)$ for $t\leq 0$, where $\eta (t)$ is white noise uncorrelated with $\xi (t)$. We find least f...

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Bibliographic Details
Date:2025
Main Authors: Moklyachuk , M. P., Моклячук , М. П.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 2025
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/9360
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal