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Statistical Analysis and Modelling of Spatial Point Patterns

2008-04-15 Mathematics
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Release : 2008-04-15
Genre : Mathematics
Kind : eBook
Book Rating : 153/5 ( reviews)

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Book Synopsis Statistical Analysis and Modelling of Spatial Point Patterns by : Dr. Janine Illian

Download or read book Statistical Analysis and Modelling of Spatial Point Patterns written by Dr. Janine Illian. This book was released on 2008-04-15. Available in PDF, EPUB and Kindle. Book excerpt: Spatial point processes are mathematical models used to describe and analyse the geometrical structure of patterns formed by objects that are irregularly or randomly distributed in one-, two- or three-dimensional space. Examples include locations of trees in a forest, blood particles on a glass plate, galaxies in the universe, and particle centres in samples of material. Numerous aspects of the nature of a specific spatial point pattern may be described using the appropriate statistical methods. Statistical Analysis and Modelling of Spatial Point Patterns provides a practical guide to the use of these specialised methods. The application-oriented approach helps demonstrate the benefits of this increasingly popular branch of statistics to a broad audience. The book: Provides an introduction to spatial point patterns for researchers across numerous areas of application Adopts an extremely accessible style, allowing the non-statistician complete understanding Describes the process of extracting knowledge from the data, emphasising the marked point process Demonstrates the analysis of complex datasets, using applied examples from areas including biology, forestry, and materials science Features a supplementary website containing example datasets. Statistical Analysis and Modelling of Spatial Point Patterns is ideally suited for researchers in the many areas of application, including environmental statistics, ecology, physics, materials science, geostatistics, and biology. It is also suitable for students of statistics, mathematics, computer science, biology and geoinformatics.

Statistical Inference and Simulation for Spatial Point Processes

2003-09-25 Mathematics
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Release : 2003-09-25
Genre : Mathematics
Kind : eBook
Book Rating : 930/5 ( reviews)

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Book Synopsis Statistical Inference and Simulation for Spatial Point Processes by : Jesper Moller

Download or read book Statistical Inference and Simulation for Spatial Point Processes written by Jesper Moller. This book was released on 2003-09-25. Available in PDF, EPUB and Kindle. Book excerpt: Spatial point processes play a fundamental role in spatial statistics and today they are an active area of research with many new applications. Although other published works address different aspects of spatial point processes, most of the classical literature deals only with nonparametric methods, and a thorough treatment of the theory and applications of simulation-based inference is difficult to find. Written by researchers at the top of the field, this book collects and unifies recent theoretical advances and examples of applications. The authors examine Markov chain Monte Carlo algorithms and explore one of the most important recent developments in MCMC: perfect simulation procedures.

Case Studies in Spatial Point Process Modeling

2006-03-03 Mathematics
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Release : 2006-03-03
Genre : Mathematics
Kind : eBook
Book Rating : 440/5 ( reviews)

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Book Synopsis Case Studies in Spatial Point Process Modeling by : Adrian Baddeley

Download or read book Case Studies in Spatial Point Process Modeling written by Adrian Baddeley. This book was released on 2006-03-03. Available in PDF, EPUB and Kindle. Book excerpt: Point process statistics is successfully used in fields such as material science, human epidemiology, social sciences, animal epidemiology, biology, and seismology. Its further application depends greatly on good software and instructive case studies that show the way to successful work. This book satisfies this need by a presentation of the spatstat package and many statistical examples. Researchers, spatial statisticians and scientists from biology, geosciences, materials sciences and other fields will use this book as a helpful guide to the application of point process statistics. No other book presents so many well-founded point process case studies. From the reviews: "For those interested in analyzing their spatial data, the wide variatey of examples and approaches here give a good idea of the possibilities and suggest reasonable paths to explore." Michael Sherman for the Journal of the American Statistical Association, December 2006

Stochastic Geometry

2006-10-26 Mathematics
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Release : 2006-10-26
Genre : Mathematics
Kind : eBook
Book Rating : 759/5 ( reviews)

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Book Synopsis Stochastic Geometry by : W. Weil

Download or read book Stochastic Geometry written by W. Weil. This book was released on 2006-10-26. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Geometry is the mathematical discipline which studies mathematical models for random geometric structures. This book collects lectures presented at the CIME summer school in Martina Franca in September 2004. The main lecturers covered Spatial Statistics, Random Points, Integral Geometry and Random Sets. These are complemented by two additional contributions on Random Mosaics and Crystallization Processes. The book presents a comprehensive and up-to-date description of important aspects of Stochastic Geometry.

An Introduction to the Theory of Point Processes

2006-04-10 Mathematics
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Release : 2006-04-10
Genre : Mathematics
Kind : eBook
Book Rating : 646/5 ( reviews)

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Book Synopsis An Introduction to the Theory of Point Processes by : D.J. Daley

Download or read book An Introduction to the Theory of Point Processes written by D.J. Daley. This book was released on 2006-04-10. Available in PDF, EPUB and Kindle. Book excerpt: Point processes and random measures find wide applicability in telecommunications, earthquakes, image analysis, spatial point patterns, and stereology, to name but a few areas. The authors have made a major reshaping of their work in their first edition of 1988 and now present their Introduction to the Theory of Point Processes in two volumes with sub-titles Elementary Theory and Models and General Theory and Structure. Volume One contains the introductory chapters from the first edition, together with an informal treatment of some of the later material intended to make it more accessible to readers primarily interested in models and applications. The main new material in this volume relates to marked point processes and to processes evolving in time, where the conditional intensity methodology provides a basis for model building, inference, and prediction. There are abundant examples whose purpose is both didactic and to illustrate further applications of the ideas and models that are the main substance of the text.

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