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Modeling of stochastic processes in $L_p(T)$ using orthogonal polynomials
Oleksandr Mokliachuk · 2025-03-22 · via math.ST updates on arXiv.org

In this paper, models that approximate stochastic processes from the space $Sub_\varphi(Ω)$ with given reliability and accuracy in $L_p(T)$ are considered for some specific functions $\varphi(t)$. For processes that are decomposited in series using orthonormal bases, such models are constructed in the case where elements of such decomposition cannot be found explicitly.

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