A characterization and moving average representation for stable harmonizable processes.
Nikfar, M., Soltani, A.Reza (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Nikfar, M., Soltani, A.Reza (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Grażyna Hajduk-Chmielewska (1988)
Studia Mathematica
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Michael Hernández, Christian Houdré (1993)
Studia Mathematica
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We discuss the disjointness of two classes of stable stochastic processes: moving averages and Fourier transforms. Results on the incompatibility of these two representations date back to Urbanik. Here we extend various disjointness results to encompass larger classes of processes.
Donald Geman, Joseph Horowitz (1973)
Annales de l'I.H.P. Probabilités et statistiques
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Karel Horák, Vladimír Müller, Pavla Vrbová (1987)
Aplikace matematiky
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The uniqueness of the Wold decomposition of a finite-dimensional stationary process without assumption of full rank stationary process and the Lebesgue decomposition of its spectral measure is easily obtained.
A. Makagon, A. Weron (1976)
Studia Mathematica
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Hillel Furstenberg, Yuval Peres, Benjamin Weiss (1995)
Annales de l'I.H.P. Probabilités et statistiques
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