Titlebook: New Directions in Time Series Analysis; Part II David Brillinger,Peter Caines,Murad S. Taqqu Conference proceedings 1993 Springer-Verlag Ne

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Wei Ren,P. R. Kumarung dieser Theorie für die ganz"e t1athematik wird er zwar oft hingewiesen, aber vorgeführt werden meist nur Anwendungen aus der Geometrie. Das vorliegende kleine Heft ist ?er Versuch, ein anderes Gebiet für die Motivierung der Anf?ngervorlesung zu erschlie?en, n?mlich die Theorie der stochastischen

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New Directions in Time Series Analysis978-1-4613-9296-5Series ISSN 0940-6573 Series E-ISSN 2198-3224

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Weak Convergence to Self-Affine Processes in Dynamical Systems,Self-affine processes arise naturally as weak limits of partial sums of observations on a dynamical system. This fact has practical and theoretical implications for the study of dynamical systems. We survey some of these results, and their implications.

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Linear Models with Long-Range Dependence and with Finite or Infinite Variance,We analyze a number of linear models that display long-range dependence and have either finite or infinite variance.

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,Long Memory Shot Noises and Limit Theorems with Application to Burgers’ Equation, with long memory to a self-similar process expressed as multiple Wiener-Ito integral is proved. Asymptotical normality of solutions of the Burgers equation in .. with random initial data as the gradient of a shot noise field with long memory is established, extending recent results by Bulinskii and Molchanov.

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