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Random Fields and Geometry

2009-01-29 Mathematics
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Release : 2009-01-29
Genre : Mathematics
Kind : eBook
Book Rating : 168/5 ( reviews)

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Book Synopsis Random Fields and Geometry by : R. J. Adler

Download or read book Random Fields and Geometry written by R. J. Adler. This book was released on 2009-01-29. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to a completely new approach to geometric problems arising in the study of random fields. The groundbreaking material in Part III, for which the background is carefully prepared in Parts I and II, is of both theoretical and practical importance, and striking in the way in which problems arising in geometry and probability are beautifully intertwined. "Random Fields and Geometry" will be useful for probabilists and statisticians, and for theoretical and applied mathematicians who wish to learn about new relationships between geometry and probability. It will be helpful for graduate students in a classroom setting, or for self-study. Finally, this text will serve as a basic reference for all those interested in the companion volume of the applications of the theory.

The Geometry of Random Fields

2010-01-28 Mathematics
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Release : 2010-01-28
Genre : Mathematics
Kind : eBook
Book Rating : 934/5 ( reviews)

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Book Synopsis The Geometry of Random Fields by : Robert J. Adler

Download or read book The Geometry of Random Fields written by Robert J. Adler. This book was released on 2010-01-28. Available in PDF, EPUB and Kindle. Book excerpt: An important treatment of the geometric properties of sets generated by random fields, including a comprehensive treatment of the mathematical basics of random fields in general. It is a standard reference for all researchers with an interest in random fields, whether they be theoreticians or come from applied areas.

Stochastic Geometry, Spatial Statistics and Random Fields

2013-02-11 Mathematics
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Release : 2013-02-11
Genre : Mathematics
Kind : eBook
Book Rating : 052/5 ( reviews)

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Book Synopsis Stochastic Geometry, Spatial Statistics and Random Fields by : Evgeny Spodarev

Download or read book Stochastic Geometry, Spatial Statistics and Random Fields written by Evgeny Spodarev. This book was released on 2013-02-11. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a modern introduction to stochastic geometry, random fields and spatial statistics at a (post)graduate level. It is focused on asymptotic methods in geometric probability including weak and strong limit theorems for random spatial structures (point processes, sets, graphs, fields) with applications to statistics. Written as a contributed volume of lecture notes, it will be useful not only for students but also for lecturers and researchers interested in geometric probability and related subjects.

Spatiotemporal Random Fields

2017-07-26 Science
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Release : 2017-07-26
Genre : Science
Kind : eBook
Book Rating : 321/5 ( reviews)

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Book Synopsis Spatiotemporal Random Fields by : George Christakos

Download or read book Spatiotemporal Random Fields written by George Christakos. This book was released on 2017-07-26. Available in PDF, EPUB and Kindle. Book excerpt: Spatiotemporal Random Fields: Theory and Applications, Second Edition, provides readers with a new and updated edition of the text that explores the application of spatiotemporal random field models to problems in ocean, earth, and atmospheric sciences, spatiotemporal statistics, and geostatistics, among others. The new edition features considerable detail of spatiotemporal random field theory, including ordinary and generalized models, as well as space-time homostationary, isostationary and hetrogeneous approaches. Presenting new theoretical and applied results, with particular emphasis on space-time determination and interpretation, spatiotemporal analysis and modeling, random field geometry, random functionals, probability law, and covariance construction techniques, this book highlights the key role of space-time metrics, the physical interpretation of stochastic differential equations, higher-order space-time variability functions, the validity of major theoretical assumptions in real-world practice (covariance positive-definiteness, metric-adequacy etc.), and the emergence of interdisciplinary phenomena in conditions of multi-sourced real-world uncertainty. Contains applications in the form of examples and case studies, providing readers with first-hand experiences Presents an easy to follow narrative which progresses from simple concepts to more challenging ideas Includes significant updates from the previous edition, including a focus on new theoretical and applied results

Stochastic Geometry, Spatial Statistics and Random Fields

2014-10-24 Mathematics
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Release : 2014-10-24
Genre : Mathematics
Kind : eBook
Book Rating : 645/5 ( reviews)

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Book Synopsis Stochastic Geometry, Spatial Statistics and Random Fields by : Volker Schmidt

Download or read book Stochastic Geometry, Spatial Statistics and Random Fields written by Volker Schmidt. This book was released on 2014-10-24. Available in PDF, EPUB and Kindle. Book excerpt: 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 were considered with a focus on asymptotic methods.

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