Stable Non-Gaussian Self-Similar Processes with Stationary Increments

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 re...

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Bibliographic Details
Main Authors: Pipiras, Vladas (Author), Taqqu, Murad S. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Series:SpringerBriefs in Probability and Mathematical Statistics,
Subjects:
Online Access:Full Text via HEAL-Link
Description
Summary: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.
Physical Description:XIII, 135 p. 2 illus. online resource.
ISBN:9783319623313
ISSN:2365-4333