Robust and Nonlinear Time Series Analysis (eBook, PDF)
eBook, PDF

Robust and Nonlinear Time Series Analysis (eBook, PDF)

Proceedings of a Workshop Organized by the Sonderforschungsbereich 123 "Stochastische Mathematische Modelle", Heidelberg 1983

Redaktion: Franke, J.; Martin, D.; Härdle, W.
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Classical time series methods are based on the assumption that a particular stochastic process model generates the observed data. The, most commonly used assumption is that the data is a realization of a stationary Gaussian process. However, since the Gaussian assumption is a fairly stringent one, this assumption is frequently replaced by the weaker assumption that the process is wide~sense stationary and that only the mean and covariance sequence is specified. This approach of specifying the probabilistic behavior only up to "second order" has of course been extremely popular from a theoretic...

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