Stochastic geometry and its applications / Sung Nok Chiu, Dietrich Stoyan, Wilfried S. Kendall, ... [et al.]
Type de document : MonographieCollection : Wiley series in probability and statisticsLangue : anglais.Pays: Etats Unis.Mention d'édition: 3rd editionÉditeur : Chichester : Wiley, cop. 2013Description : 1 vol. (XXVI-544 p.) : ill. ; 28 cmISBN: 9780470664810.ISSN: 1940-6517.Bibliographie : Bibliogr. p. [453]-505. Index.Sujet MSC : 60D05, Geometric probability and stochastic geometry60-02, Research exposition (monographs, survey articles) pertaining to probability theory
60G55, Probability theory and stochastic processes, Point processes (e.g., Poisson, Cox, Hawkes processes)
62M30, Statistics - Inference from stochastic processes, Inference from spatial processes
52A22, General convexity, Random convex sets and integral geometry (aspects of convex geometry)En-ligne : MSN | zbMath
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
Monographie
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CMI Salle 1 | 60 CHI (Browse shelf(Opens below)) | Available | 10431-01 |
This is the third edition of one of the most important key references in stochastic geometry. As the authors write in the preface, this edition has to be considered as a "modernization'' of the previous one. Indeed, stochastic geometry finds application in many research fields (among them: materials sciences, biology, medicine, environmental sciences) in which new ideas, results and methods have been developed in the last two decades. More than 700 new references are listed in the bibliography in this new edition.
This book will certainly be useful both to the expert and to the beginner in stochastic geometry and spatial statistics looking for a reference text on the subject. The reader interested in learning more about both mathematical proofs and further applications of the results which are only cited or mentioned will find accurate references here.
As in the previous editions, the authors succeed in bringing together both the mathematical foundations necessary for a rigorous exposition of the subjects treated, and their statistical or computational aspects. The exposition is such that the reader is led from the simple to the more complicated; this is evident also from the order chosen to present the contents. Indeed, after an introductory chapter on mathematical foundations, the authors first introduce the Poisson point process (Chapter 2) and the Boolean model (Chapter 3), which are the simplest and most studied point process and random closed set, respectively, and then they pass to the general theory (Chapters 4–7). An entire chapter (Chapter 8) is devoted to the study of systems of fibres and systems of surfaces randomly distributed on the plane or in space, while Chapter 9 deals with random tessellations and related topics. In both chapters the interest is focused on general results in the cases of stationarity or motion invariance. The last chapter is devoted to stereology, as part of the applications of stochastic geometry and spatial statistics. (MSN)
Bibliogr. p. [453]-505. Index
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