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Stochastic Geometry, Spatial Statistics and Random Fields de Volker Schmidt

Stochastic Geometry, Spatial Statistics and Random Fields: Lecture Notes in Mathematics, cartea 2120

Editat de Volker Schmidt
en Limba Engleză Paperback – 6 noi 2014
This volume is an attempt to provide a graduate level introduction to various aspects of stochastic geometry, spatial statistics and random fields, with special emphasis placed on fundamental classes of models and algorithms as well as on their applications, e.g. in materials science, biology and genetics.This book has a strong focus on simulations and includes extensive codes in Matlab and R which are widely used in the mathematical community. It can be seen as a continuation of the recent volume 2068 of Lecture Notes in Mathematics, where other issues of stochastic geometry, spatial statistics and random fields wereconsidered with a focus on asymptotic methods.
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Specificații

ISBN-13: 9783319100630
ISBN-10: 3319100637
Pagini: 492
Ilustrații: XXIV, 464 p. 133 illus., 63 illus. in color.
Dimensiuni: 155 x 235 x 27 mm
Greutate: 0.74 kg
Ediția:2015
Editura: Springer
Colecția Lecture Notes in Mathematics
Seria Lecture Notes in Mathematics

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

Stein’s Method for Approximating Complex Distributions, with a View towards Point Processes.- Clustering Comparison of Point Processes, with Applications to Random Geometric Models.- Random Tessellations and their Application to the Modelling of Cellular Materials.- Stochastic 3D Models for the Micro-structure of Advanced Functional Materials.- Boolean Random Functions.- Random Marked Sets and Dimension Reduction.- Space-Time Models in Stochastic Geometry.- Rotational Integral Geometry and Local Stereology - with a View to Image Analysis.- An Introduction to Functional Data Analysis.- Some Statistical Methods in Genetics.- Extrapolation of Stationary Random Fields.- Spatial Process Simulation.- Introduction to Coupling-from-the-Past using R.- References.-Index.

Textul de pe ultima copertă

Providing a graduate level introduction to various aspects of stochastic geometry, spatial statistics and random fields, this volume places a special emphasis on fundamental classes of models and algorithms as well as on their applications, for example in materials science, biology and genetics.
This book has a strong focus on simulations and includes extensive codes in Matlab and R, which are widely used in the mathematical community. It can be regarded as a continuation of the recent volume 2068 of Lecture Notes in Mathematics, where other issues of stochastic geometry, spatial statistics and random fields were considered, with a focus on asymptotic methods.

Caracteristici

Frontier theoretical work on point processes, random fields and integral geometry Extensive applications in materials science, biology and genetics Extensive codes in Matlab and R that help the reader with applications Many examples help the reader to deepen their understanding