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Stochastic Geometry and its Applications

2009-03-16 Mathematics
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Release : 2009-03-16
Genre : Mathematics
Kind : eBook
Book Rating : 645/5 ( reviews)

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Book Synopsis Stochastic Geometry and its Applications by : Dietrich Stoyan

Download or read book Stochastic Geometry and its Applications written by Dietrich Stoyan. This book was released on 2009-03-16. Available in PDF, EPUB and Kindle. Book excerpt: The Wiley Paperback Series makes valuable content more accessible to a new generation of statisticians, mathematicians and scientists. Stochastic geometry and spatial statistics play a fundamental role in many modern branches of physics, materials sciences, biology and environmental sciences. They offer successful models for the description of random two- and three-dimensional micro and macro structures and statistical methods for their analysis. The book deals with the following topics: point processes random sets random measures random shapes fibre and surface processes tessellations stereological methods. This book has served as the key reference in its field for over 20 years and is regarded as the best treatment of the subject of stochastic geometry, both as an subject with vital applications to spatial statistics and as a very interesting field of mathematics in its own right.

Stochastic Geometry

2019-04-09 Mathematics
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Release : 2019-04-09
Genre : Mathematics
Kind : eBook
Book Rating : 470/5 ( reviews)

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Book Synopsis Stochastic Geometry by : David Coupier

Download or read book Stochastic Geometry written by David Coupier. This book was released on 2019-04-09. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a unique and accessible overview of the most active fields in Stochastic Geometry, up to the frontiers of recent research. Since 2014, the yearly meeting of the French research structure GDR GeoSto has been preceded by two introductory courses. This book contains five of these introductory lectures. The first chapter is a historically motivated introduction to Stochastic Geometry which relates four classical problems (the Buffon needle problem, the Bertrand paradox, the Sylvester four-point problem and the bicycle wheel problem) to current topics. The remaining chapters give an application motivated introduction to contemporary Stochastic Geometry, each one devoted to a particular branch of the subject: understanding spatial point patterns through intensity and conditional intensities; stochastic methods for image analysis; random fields and scale invariance; and the theory of Gibbs point processes. Exposing readers to a rich theory, this book will encourage further exploration of the subject and its wide applications.

Stochastic and Integral Geometry

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 213/5 ( reviews)

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Book Synopsis Stochastic and Integral Geometry by : R.V. Ambartzumian

Download or read book Stochastic and Integral Geometry written by R.V. Ambartzumian. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Geometry

2019-06-10 Mathematics
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Release : 2019-06-10
Genre : Mathematics
Kind : eBook
Book Rating : 724/5 ( reviews)

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Book Synopsis Stochastic Geometry by : Wilfrid S. Kendall

Download or read book Stochastic Geometry written by Wilfrid S. Kendall. This book was released on 2019-06-10. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic geometry involves the study of random geometric structures, and blends geometric, probabilistic, and statistical methods to provide powerful techniques for modeling and analysis. Recent developments in computational statistical analysis, particularly Markov chain Monte Carlo, have enormously extended the range of feasible applications. Stochastic Geometry: Likelihood and Computation provides a coordinated collection of chapters on important aspects of the rapidly developing field of stochastic geometry, including: o a "crash-course" introduction to key stochastic geometry themes o considerations of geometric sampling bias issues o tesselations o shape o random sets o image analysis o spectacular advances in likelihood-based inference now available to stochastic geometry through the techniques of Markov chain Monte Carlo

Stochastic Geometry and Wireless Networks

2009 Computers
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Release : 2009
Genre : Computers
Kind : eBook
Book Rating : 64X/5 ( reviews)

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Book Synopsis Stochastic Geometry and Wireless Networks by : François Baccelli

Download or read book Stochastic Geometry and Wireless Networks written by François Baccelli. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt: This volume bears on wireless network modeling and performance analysis. The aim is to show how stochastic geometry can be used in a more or less systematic way to analyze the phenomena that arise in this context. It first focuses on medium access control mechanisms used in ad hoc networks and in cellular networks. It then discusses the use of stochastic geometry for the quantitative analysis of routing algorithms in mobile ad hoc networks. The appendix also contains a concise summary of wireless communication principles and of the network architectures considered in the two volumes.

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