Absolute convergence of Fourier series of periodic stochastic processes and its applications

DOI10.2748/tmj/1178229003zbMath0522.60038OpenAlexW2007230043MaRDI QIDQ1056135

Tatsuo Kawata

Publication date: 1983

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229003

zbMATH Keywords

Fourier seriescontinuity and differentiability of stochastic processes

Mathematics Subject Classification ID

General second-order stochastic processes (60G12) Sample path properties (60G17)

Related Items (1)

Structural properties of periodic stochastic processes

Cites Work

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• Real variable lemmas and their applications to sample properties of stochastic processes
• Sample path properties of stochastic processes
• Conditions for sample-continuity and the central limit theorem
• Sample-continuity of square-integrable processes
• Best possibility of an integral test for sample continuity of \(L_p\)- processes \((p\geq 2)\)
• The Moments of the Number of Crossings of a Level by a Stationary Normal Process
• Sample Properties of Weakly Stationary Processes

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