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Titlebook: Gaussian Random Processes; I. A. Ibragimov,Y. A. Rozanov Book 1978 Springer-Verlag New York Inc. 1978 Ergodic theory.Gaussian measure.Gaus

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https://doi.org/10.1007/978-3-662-00542-2s generated by the process on the set ., that is, . (.) is the minimal .-algebra containing events such as.the . being Borel sets on the real line.* Algebras of the form .(−∞, .) determine the past of the process (before time .), algebras of the form .(., ∞) determine the future of the process (afte
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Autogenes Training und gestufte Aktivhypnosection IV.1 we obtained a characterization of the spectrum of Gaussian stationary processes satisfying a strong mixing condition. We note in advance that the results regarding the behavior of spectral densities .(.) of completely regular processes with continuous time on any finite interval of variat
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Wesen und Wirkung des Autogenen TrainingsWe consider in this chapter a wide-sense stationary process . (.) with discrete time . = 0, ±1,… .Here we deal only with the concepts formulated in terms of the second-order statistics; hence it does not really matter whether the process . (.) is Gaussian or not.
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https://doi.org/10.1007/978-3-663-02330-2Let us consider a random process of the form.where . (.), . ∈ ., is an unknown deterministic function from a given class . and .(.), . ∈ ., is a Gaussian stationary process with zero mean and correlation function .(.).
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