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arxiv: 1307.1859 · v1 · pith:WDTQMQYZnew · submitted 2013-07-07 · 🧮 math.PR

Convergence in L_p([0,T]) of wavelet expansions of φ-sub-Gaussian random processes

Yuriy Kozachenko (1) , Andriy Olenko (2) , Olga Polosmak (3) ((1) Department of Probability Theory , Statistics , Actuarial Mathematics , Kyiv University , Kyiv , Ukraine (2) Department of Mathematics
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La Trobe University Victoria Australia (3) Department of Economic Cybernetics Ukraine)
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keywords convergenceexpansionsobtainedprocessesrandomresultssub-gaussianvarphi
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The article presents new results on convergence in $L_p([0,T])$ of wavelet expansions of $\varphi$-sub-Gaussian random processes. The convergence rate of the expansions is obtained. Specifications of the obtained results are discussed.

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