Fractional fields and applications / Serge Cohen, Jacques Istas
Type de document : MonographieCollection : Mathématiques et applications, 73Langue : anglais.Pays: Allemagne.Éditeur : Berlin : Springer, cop. 2013Description : 1 vol. (XII-270 p.) : fig. ; 24 cmISBN: 9783642367380.ISSN: 1154-483X.Bibliographie : Bibliogr. p. 263-268. Index.Sujet MSC : 60G18, Probability theory and stochastic processes, Self-similar stochastic processes60G22, Probability theory and stochastic processes, Fractional processes, including fractional Brownian motion
60-02, Research exposition (monographs, survey articles) pertaining to probability theory
60G60, Probability theory and stochastic processes, Random fields
62M40, Statistics - Inference from stochastic processes, Random fields; image analysisEn-ligne : MathSciNet | zbMath | Springerlink
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
Monographie
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CMI Salle 1 | Séries SMA (Browse shelf(Opens below)) | Available | 10060-01 |
This monograph considers fractional Brownian fields and their extensions. Starting with an introductory chapter on stochastic fields and fractal analysis the text continues with a concise discussion of self-similarity with particular emphasis on Gaussian self similar fields. Other topic are Lévy fields and their most important properties. The last two parts of the book deal with more practical issues from statistics and simulation of fractional fields.
The text is well written and should be accessible for readers with basic knowledge in probability and stochastic processes. With its wide range of different topics it closes a gap in the existing literature and will be of great use for anybody interested in the topic. (zbMath)
Bibliogr. p. 263-268. Index
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