Statistical Analysis And Modelling Of Spatial Point Patterns

Author : Dr. Janine Illian,Prof. Antti Penttinen,Dr. Helga Stoyan,Dr. Dietrich Stoyan
Publisher : John Wiley & Sons
Page : 560 pages
File Size : 48,5 Mb
Release : 2008-04-15
Category : Mathematics
ISBN : 047072515X

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Statistical Analysis and Modelling of Spatial Point Patterns by Dr. Janine Illian,Prof. Antti Penttinen,Dr. Helga Stoyan,Dr. Dietrich Stoyan Pdf

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.

Author : Peter Diggle
Publisher : Unknown
Page : 166 pages
File Size : 53,6 Mb
Release : 1983
Category : Mathematics
ISBN : MINN:31951000339469D

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Statistical Analysis of Spatial Point Patterns by Peter Diggle Pdf

Introduction; Preliminary testing for mapped patterns; Analysis of sparsely sampled patterns; Spatial point processes; Analysis of mapped patterns; Multivariate spatial point processes; Analysis of multivariate patterns.

Author : M. S. Bartlett
Publisher : Springer Science & Business Media
Page : 98 pages
File Size : 47,6 Mb
Release : 2013-03-09
Category : Science
ISBN : 9789400957558

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The Statistical Analysis of Spatial Pattern by M. S. Bartlett Pdf

In a contribution (Bartlett, 1971 a) to the Symposium on Statistical Ecology at Yale in 1969, I noted in my introductory remarks that that paper was not intended to be in any way a review of statistical techniques for analysing spatial patterns. My contribution to a conference at Sheffield in 1973 aimed, at least in part, to supply such a review and forms the basis of this monograph; but in these prefatory remarks I must still make clear what I decided to discuss, and what I have omitted. Broadly speaking, the coverage is that included in seminars and lectures I have given on this theme since 1969. We may divide problems of spatial pattern (in contrast with complete random chaos) into (i) detecting departures from randomness, Oi) analysing such departures when detected, for example, in relation to some stochastic model and (iii) special problems which require separate consideration; for example, sophisticated problems of pattern recognition in specific fields, such as the computer reading of handwriting or recognition of chromosomes.

Author : Adrian Baddeley,Ege Rubak,Rolf Turner
Publisher : CRC Press
Page : 830 pages
File Size : 48,9 Mb
Release : 2015-11-11
Category : Mathematics
ISBN : 9781482210217

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Spatial Point Patterns by Adrian Baddeley,Ege Rubak,Rolf Turner Pdf

Modern Statistical Methodology and Software for Analyzing Spatial Point PatternsSpatial Point Patterns: Methodology and Applications with R shows scientific researchers and applied statisticians from a wide range of fields how to analyze their spatial point pattern data. Making the techniques accessible to non-mathematicians, the authors draw on th

Author : Peter J. Diggle
Publisher : Unknown
Page : 195 pages
File Size : 47,7 Mb
Release : 2009
Category : Electronic
ISBN : OCLC:955060725

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Statistical Analysis of Spatial Point Patterns by Peter J. Diggle Pdf

Author : Oliver Schabenberger,Carol A. Gotway
Publisher : CRC Press
Page : 512 pages
File Size : 51,5 Mb
Release : 2017-01-27
Category : Mathematics
ISBN : 9781482258134

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Statistical Methods for Spatial Data Analysis by Oliver Schabenberger,Carol A. Gotway Pdf

Understanding spatial statistics requires tools from applied and mathematical statistics, linear model theory, regression, time series, and stochastic processes. It also requires a mindset that focuses on the unique characteristics of spatial data and the development of specialized analytical tools designed explicitly for spatial data analysis. Statistical Methods for Spatial Data Analysis answers the demand for a text that incorporates all of these factors by presenting a balanced exposition that explores both the theoretical foundations of the field of spatial statistics as well as practical methods for the analysis of spatial data. This book is a comprehensive and illustrative treatment of basic statistical theory and methods for spatial data analysis, employing a model-based and frequentist approach that emphasizes the spatial domain. It introduces essential tools and approaches including: measures of autocorrelation and their role in data analysis; the background and theoretical framework supporting random fields; the analysis of mapped spatial point patterns; estimation and modeling of the covariance function and semivariogram; a comprehensive treatment of spatial analysis in the spectral domain; and spatial prediction and kriging. The volume also delivers a thorough analysis of spatial regression, providing a detailed development of linear models with uncorrelated errors, linear models with spatially-correlated errors and generalized linear mixed models for spatial data. It succinctly discusses Bayesian hierarchical models and concludes with reviews on simulating random fields, non-stationary covariance, and spatio-temporal processes. Additional material on the CRC Press website supplements the content of this book. The site provides data sets used as examples in the text, software code that can be used to implement many of the principal methods described and illustrated, and updates to the text itself.

Author : Peter J. Diggle
Publisher : CRC Press
Page : 302 pages
File Size : 46,5 Mb
Release : 2013-07-23
Category : Mathematics
ISBN : 9781466560239

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Statistical Analysis of Spatial and Spatio-Temporal Point Patterns, Third Edition by Peter J. Diggle Pdf

Written by a prominent statistician and author, the first edition of this bestseller broke new ground in the then emerging subject of spatial statistics with its coverage of spatial point patterns. Retaining all the material from the second edition and adding substantial new material, Statistical Analysis of Spatial and Spatio-Temporal Point Patterns, Third Edition presents models and statistical methods for analyzing spatially referenced point process data. Reflected in the title, this third edition now covers spatio-temporal point patterns. It explores the methodological developments from the last decade along with diverse applications that use spatio-temporally indexed data. Practical examples illustrate how the methods are applied to analyze spatial data in the life sciences. This edition also incorporates the use of R through several packages dedicated to the analysis of spatial point process data. Sample R code and data sets are available on the author’s website.

Author : Adrian Baddeley,Pablo Gregori,Jorge Mateu Mahiques,Radu Stoica,Dietrich Stoyan
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 49,5 Mb
Release : 2006-03-03
Category : Mathematics
ISBN : 9780387311449

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Case Studies in Spatial Point Process Modeling by Adrian Baddeley,Pablo Gregori,Jorge Mateu Mahiques,Radu Stoica,Dietrich Stoyan Pdf

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

Author : Noel Cressie
Publisher : John Wiley & Sons
Page : 931 pages
File Size : 42,9 Mb
Release : 2015-03-18
Category : Mathematics
ISBN : 9781119115182

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Statistics for Spatial Data by Noel Cressie Pdf

The Wiley Classics Library consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. Spatial statistics — analyzing spatial data through statistical models — has proven exceptionally versatile, encompassing problems ranging from the microscopic to the astronomic. However, for the scientist and engineer faced only with scattered and uneven treatments of the subject in the scientific literature, learning how to make practical use of spatial statistics in day-to-day analytical work is very difficult. Designed exclusively for scientists eager to tap into the enormous potential of this analytical tool and upgrade their range of technical skills, Statistics for Spatial Data is a comprehensive, single-source guide to both the theory and applied aspects of spatial statistical methods. The hard-cover edition was hailed by Mathematical Reviews as an "excellent book which will become a basic reference." This paper-back edition of the 1993 edition, is designed to meet the many technological challenges facing the scientist and engineer. Concentrating on the three areas of geostatistical data, lattice data, and point patterns, the book sheds light on the link between data and model, revealing how design, inference, and diagnostics are an outgrowth of that link. It then explores new methods to reveal just how spatial statistical models can be used to solve important problems in a host of areas in science and engineering. Discussion includes: Exploratory spatial data analysis Spectral theory for stationary processes Spatial scale Simulation methods for spatial processes Spatial bootstrapping Statistical image analysis and remote sensing Computational aspects of model fitting Application of models to disease mapping Designed to accommodate the practical needs of the professional, it features a unified and common notation for its subject as well as many detailed examples woven into the text, numerous illustrations (including graphs that illuminate the theory discussed) and over 1,000 references. Fully balancing theory with applications, Statistics for Spatial Data, Revised Edition is an exceptionally clear guide on making optimal use of one of the ascendant analytical tools of the decade, one that has begun to capture the imagination of professionals in biology, earth science, civil, electrical, and agricultural engineering, geography, epidemiology, and ecology.

Author : Jesper Moller,Rasmus Plenge Waagepetersen
Publisher : CRC Press
Page : 320 pages
File Size : 50,8 Mb
Release : 2003-09-25
Category : Mathematics
ISBN : 0203496930

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Statistical Inference and Simulation for Spatial Point Processes by Jesper Moller,Rasmus Plenge Waagepetersen Pdf

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.

Author : Thorsten Wiegand,Kirk A. Moloney
Publisher : CRC Press
Page : 525 pages
File Size : 53,5 Mb
Release : 2013-12-20
Category : Mathematics
ISBN : 9781420082555

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Handbook of Spatial Point-Pattern Analysis in Ecology by Thorsten Wiegand,Kirk A. Moloney Pdf

Understand How to Analyze and Interpret Information in Ecological Point PatternsAlthough numerous statistical methods for analyzing spatial point patterns have been available for several decades, they haven't been extensively applied in an ecological context. Addressing this gap, Handbook of Spatial Point-Pattern Analysis in Ecology shows how the t

Author : Alain Zuur,Elena N. Ieno,Graham M. Smith
Publisher : Springer
Page : 686 pages
File Size : 42,9 Mb
Release : 2007-08-29
Category : Science
ISBN : 9780387459721

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Analyzing Ecological Data by Alain Zuur,Elena N. Ieno,Graham M. Smith Pdf

This book provides a practical introduction to analyzing ecological data using real data sets. The first part gives a largely non-mathematical introduction to data exploration, univariate methods (including GAM and mixed modeling techniques), multivariate analysis, time series analysis, and spatial statistics. The second part provides 17 case studies. The case studies include topics ranging from terrestrial ecology to marine biology and can be used as a template for a reader’s own data analysis. Data from all case studies are available from www.highstat.com. Guidance on software is provided in the book.

Author : Alan E. Gelfand,Peter Diggle,Peter Guttorp,Montserrat Fuentes
Publisher : CRC Press
Page : 622 pages
File Size : 44,5 Mb
Release : 2010-03-19
Category : Mathematics
ISBN : 9781420072884

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Handbook of Spatial Statistics by Alan E. Gelfand,Peter Diggle,Peter Guttorp,Montserrat Fuentes Pdf

Assembling a collection of very prominent researchers in the field, the Handbook of Spatial Statistics presents a comprehensive treatment of both classical and state-of-the-art aspects of this maturing area. It takes a unified, integrated approach to the material, providing cross-references among chapters.The handbook begins with a historical intro

Author : Sudipto Banerjee
Publisher : CRC Press
Page : 470 pages
File Size : 48,5 Mb
Release : 2003-12-17
Category : Mathematics
ISBN : 9780203487808

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Hierarchical Modeling and Analysis for Spatial Data by Sudipto Banerjee Pdf

Among the many uses of hierarchical modeling, their application to the statistical analysis of spatial and spatio-temporal data from areas such as epidemiology And environmental science has proven particularly fruitful. Yet to date, the few books that address the subject have been either too narrowly focused on specific aspects of spatial analysis,

Author : Sudipto Banerjee,Bradley P. Carlin,Alan E. Gelfand
Publisher : CRC Press
Page : 587 pages
File Size : 54,9 Mb
Release : 2014-09-12
Category : Mathematics
ISBN : 9781439819173

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Hierarchical Modeling and Analysis for Spatial Data, Second Edition by Sudipto Banerjee,Bradley P. Carlin,Alan E. Gelfand Pdf

Keep Up to Date with the Evolving Landscape of Space and Space-Time Data Analysis and Modeling Since the publication of the first edition, the statistical landscape has substantially changed for analyzing space and space-time data. More than twice the size of its predecessor, Hierarchical Modeling and Analysis for Spatial Data, Second Edition reflects the major growth in spatial statistics as both a research area and an area of application. New to the Second Edition New chapter on spatial point patterns developed primarily from a modeling perspective New chapter on big data that shows how the predictive process handles reasonably large datasets New chapter on spatial and spatiotemporal gradient modeling that incorporates recent developments in spatial boundary analysis and wombling New chapter on the theoretical aspects of geostatistical (point-referenced) modeling Greatly expanded chapters on methods for multivariate and spatiotemporal modeling New special topics sections on data fusion/assimilation and spatial analysis for data on extremes Double the number of exercises Many more color figures integrated throughout the text Updated computational aspects, including the latest version of WinBUGS, the new flexible spBayes software, and assorted R packages The Only Comprehensive Treatment of the Theory, Methods, and Software This second edition continues to provide a complete treatment of the theory, methods, and application of hierarchical modeling for spatial and spatiotemporal data. It tackles current challenges in handling this type of data, with increased emphasis on observational data, big data, and the upsurge of associated software tools. The authors also explore important application domains, including environmental science, forestry, public health, and real estate.