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Generalized Quadratic Variations of Gaussian Processes

Limit Theorems and Applications to Fractional Gaussian Processes

Language EnglishEnglish
Book Paperback
Book Generalized Quadratic Variations of Gaussian Processes Arnaud Bégyn
Libristo code: 06826935
Publishers VDM Verlag Dr. Müller, November 2008
This book is about "generalized quadratic variations of Gaussian processes". Generalized quadratic v... Full description
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This book is about "generalized quadratic variations of Gaussian processes". Generalized quadratic variations means that we consider mathematical objects wich are generalization of the classical quadratic variations used in semi-martingale theory. The Gaussian processes studied in this work are of fractional type, that is they resemble the fractional Brownian motion (FBM). In FBM theory, mathematicians consider second order quadratic variations which yield good estimation of the Hurst index of FBM. The aim of this work is to generalize this results to other fractional processes, without stationarity or harmonizable representation assumptions.

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About the book

Full name Generalized Quadratic Variations of Gaussian Processes
Author Arnaud Bégyn
Language English
Binding Book - Paperback
Date of issue 2009
Number of pages 168
EAN 9783639188004
Libristo code 06826935
Weight 240
Dimensions 150 x 220 x 9
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