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Spatial Statistics And Models

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Spatial Statistics And Modeling

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Author : Carlo Gaetan
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-10

Spatial Statistics And Modeling written by Carlo Gaetan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-10 with Mathematics categories.

Spatial statistics are useful in subjects as diverse as climatology, ecology, economics, environmental and earth sciences, epidemiology, image analysis and more. This book covers the best-known spatial models for three types of spatial data: geostatistical data (stationarity, intrinsic models, variograms, spatial regression and space-time models), areal data (Gibbs-Markov fields and spatial auto-regression) and point pattern data (Poisson, Cox, Gibbs and Markov point processes). The level is relatively advanced, and the presentation concise but complete. The most important statistical methods and their asymptotic properties are described, including estimation in geostatistics, autocorrelation and second-order statistics, maximum likelihood methods, approximate inference using the pseudo-likelihood or Monte-Carlo simulations, statistics for point processes and Bayesian hierarchical models. A chapter is devoted to Markov Chain Monte Carlo simulation (Gibbs sampler, Metropolis-Hastings algorithms and exact simulation). A large number of real examples are studied with R, and each chapter ends with a set of theoretical and applied exercises. While a foundation in probability and mathematical statistics is assumed, three appendices introduce some necessary background. The book is accessible to senior undergraduate students with a solid math background and Ph.D. students in statistics. Furthermore, experienced statisticians and researchers in the above-mentioned fields will find the book valuable as a mathematically sound reference. This book is the English translation of Modélisation et Statistique Spatiales published by Springer in the series Mathématiques & Applications, a series established by Société de Mathématiques Appliquées et Industrielles (SMAI).

Spatial Statistics

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Author : Mohammed A. Kalkhan
language : en
Publisher: CRC Press
Release Date : 2011-05-09

Spatial Statistics written by Mohammed A. Kalkhan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-09 with Mathematics categories.

Theory Of Spatial Statistics

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Author : M.N.M. van Lieshout
language : en
Publisher: CRC Press
Release Date : 2019-03-19

Theory Of Spatial Statistics written by M.N.M. van Lieshout and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-19 with Mathematics categories.

Theory of Spatial Statistics: A Concise Introduction presents the most important models used in spatial statistics, including random fields and point processes, from a rigorous mathematical point of view and shows how to carry out statistical inference. It contains full proofs, real-life examples and theoretical exercises. Solutions to the latter are available in an appendix. Assuming maturity in probability and statistics, these concise lecture notes are self-contained and cover enough material for a semester course. They may also serve as a reference book for researchers. Features * Presents the mathematical foundations of spatial statistics. * Contains worked examples from mining, disease mapping, forestry, soil and environmental science, and criminology. * Gives pointers to the literature to facilitate further study. * Provides example code in R to encourage the student to experiment. * Offers exercises and their solutions to test and deepen understanding. The book is suitable for postgraduate and advanced undergraduate students in mathematics and statistics.

Handbook Of Spatial Statistics

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Author : Alan E. Gelfand
language : en
Publisher: CRC Press
Release Date : 2010-03-19

Handbook Of Spatial Statistics written by Alan E. Gelfand and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-19 with Mathematics categories.

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

Local Models For Spatial Analysis

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Author : Christopher D. Lloyd
language : en
Publisher: CRC Press
Release Date : 2010-10-13

Local Models For Spatial Analysis written by Christopher D. Lloyd and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-13 with Mathematics categories.

Focusing on solutions, this second edition provides guidance for readers who face a variety of real-world problems. The text presents a complete introduction to key concepts and a clear mapping of the methods. New chapters address spatial patterning in single variables and spatial relations. The author distinguishes between local and global methods and provides detailed coverage of geographical weighting, image texture measures, local spatial autocorrelation, and geographically weighted regression.

Statistical Analysis And Modelling Of Spatial Point Patterns

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Author : Dr. Janine Illian
language : en
Publisher: John Wiley & Sons
Release Date : 2008-04-15

Statistical Analysis And Modelling Of Spatial Point Patterns written by Dr. Janine Illian and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-15 with Mathematics categories.

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.

Spatial Data Modelling For 3d Gis

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Author : Alias Abdul-Rahman
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-09-23

Spatial Data Modelling For 3d Gis written by Alias Abdul-Rahman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-23 with Science categories.

This book covers fundamental aspects of spatial data modelling specifically on the aspect of three-dimensional (3D) modelling and structuring. Realisation of "true" 3D GIS spatial system needs a lot of effort, and the process is taking place in various research centres and universities in some countries. The development of spatial data modelling for 3D objects is the focus of this book.

Spatial Statistics And Models

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Author : G.L. Gaile
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27

Spatial Statistics And Models written by G.L. Gaile and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Social Science categories.

The quantitative revolution in geography has passed. The spirited debates of the past decades have, in one sense, been resolved by the inclusion of quantitative techniques into the typical geographer's set of methodological tools. A new decade is upon us. Throughout the quantitative revolution, geographers ransacked related disciplines and mathematics in order to find tools which might be applicable to problems of a spatial nature. The early success of Berry and Marble's Spatial Analysis and Garrison and Marble's volumes on Quantitative Geog raphy is testimony to their accomplished search. New developments often depend heavily on borrowed ideas. It is only after these developments have been established that the necessary groundwork for true innovation ob tains. In the last decade, geographers significantly -augmented their methodologi cal base by developing quantitative techniques which are specifically directed towards analysis of explicitly spatial problems. It should be pointed out, however, that the explicit incorporation of space into quantitative techniques has not been the sole domain of geographers. Mathematicians, geologists, meteorologists, economists, and regional scientists have shared the geo grapher's interest in the spatial component of their analytical tools.

Geospatial Health Data

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Author : Paula Moraga
language : en
Publisher: CRC Press
Release Date : 2020

Geospatial Health Data written by Paula Moraga and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Medical categories.

Geospatial health data are essential to inform public health and policy. These data can be used to quantify disease burden, understand geographic and temporal patterns, identify risk factors, and measure inequalities. Geospatial Health Data: Modeling and Visualization with R-INLA and Shiny describes spatial and spatio-temporal statistical methods and visualization techniques to analyze georeferenced health data in R. The book covers the following topics: Manipulate and transform point, areal, and raster data, Bayesian hierarchical models for disease mapping using areal and geostatistical data, Fit and interpret spatial and spatio-temporal models with the Integrated Nested Laplace Approximations (INLA) and the Stochastic Partial Differential Equation (SPDE) approaches, Create interactive and static visualizations such as disease maps and time plots, Reproducible R Markdown reports, interactive dashboards, and Shiny web applications that facilitate the communication of insights to collaborators and policy makers. The book features fully reproducible examples of several disease and environmental applications using real-world data such as malaria in The Gambia, cancer in Scotland and USA, and air pollution in Spain. Examples in the book focus on health applications, but the approaches covered are also applicable to other fields that use georeferenced data including epidemiology, ecology, demography or criminology. The book provides clear descriptions of the R code for data importing, manipulation, modeling and visualization, as well as the interpretation of the results. This ensures contents are fully reproducible and accessible for students, researchers and practitioners.

Spatial Statistics

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Author : Mohammed A. Kalkhan
language : en
Publisher: CRC Press
Release Date : 2011-06-13

Geospatial information modeling and mapping has become an important tool for the investigation and management of natural resources at the landscape scale. Spatial Statistics: GeoSpatial Information Modeling and Thematic Mapping reviews the types and applications of geospatial information data, such as remote sensing, geographic information systems (GIS), and GPS as well as their integration into landscape-scale geospatial statistical models and maps. The book explores how to extract information from remotely sensed imagery, GIS, and GPS, and how to combine this with field data—vegetation, soil, and environmental—to produce a spatial model that can be reconstructed and displayed using GIS software. Readers learn the requirements and limitations of each geospatial modeling and mapping tool. Case studies with real-life examples illustrate important applications of the models. Topics covered in this book include: An overview of the geospatial information sciences and technology and spatial statistics Sampling methods and applications, including probability sampling and nonrandom sampling, and issues to consider in sampling and plot design Fine and coarse scale variability Spatial sampling schemes and spatial pattern Linear and spatial correlation statistics, including Moran’s I, Geary’s C, cross-correlation statistics, and inverse distance weighting Geospatial statistics analysis using stepwise regression, ordinary least squares (OLS), variogram, kriging, spatial auto-regression, binary classification trees, cokriging, and geospatial models for presence and absence data How to use R statistical software to work on statistical analyses and case studies, and to develop a geospatial statistical model The book includes practical examples and laboratory exercises using ArcInfo, ArcView, ArcGIS, and other popular software for geospatial modeling. It is accessible to readers from various fields, without requiring advanced knowledge of geospatial information sciences or quantitative methods.

Spatial Statistics And Models

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