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Stable Non-Gaussian Self-Similar Processes with Stationary Increments

Vladas Pipiras, Murad S. Taqqu

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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik

Beschreibung

This book provides a self-contained presentation on the structure of a large class of stable processes, known as self-similar mixed moving averages.  The authors present a way to describe and classify these processes by relating them to so-called deterministic flows.  The first sections in the book review random variables, stochastic processes, and integrals, moving on to rigidity and flows, and finally ending with mixed moving averages and self-similarity.  In-depth appendices are also included.

This book is aimed at graduate students and researchers working in probability theory and statistics.

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Schlagwörter

Self-Similarity, Stationarity of Increments, Symmetric Stable Processes, Non-singular Flows and their Functionals, Minimality, Isometries, Mixed Moving Averages, Rigidity