Spatial Statistics Methodological Aspects And Applications
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Spatial Statistics Methodological Aspects And Applications
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Author : Marc Moore
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Spatial Statistics Methodological Aspects And Applications written by Marc Moore 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 2012-12-06 with Mathematics categories.
During the past twenty years spatial statistics has experienced important developments and has been applied in many fields of science. In view of these facts, spatial statistics was an important topic during the theme year on statistics at the CRM in 1997-98. This volume contains 13 papers based on presentations by eminent researchers at four workshops during that year: Statistical Inference for Spatial Processes; Image Analysis; Applications of Spatial Statistics in Earth, Environmental, and Health Sciences; and Statistics of Brain Mapping. These papers range from asymptotic considerations for spatial processes to practical considerations related to particular applications including important methodological aspects. Many contributions concern image analysis, mainly images related to brain mapping.
Spatial Statistics
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Author : Marc Moore
language : en
Publisher:
Release Date : 2001
Spatial Statistics written by Marc Moore and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
Spatial Statistics
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Author : Marc Moore
language : en
Publisher:
Release Date : 2011-05-01
Spatial Statistics written by Marc Moore and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-01 with categories.
Spatial Point Patterns
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Author : Adrian Baddeley
language : en
Publisher: CRC Press
Release Date : 2015-11-11
Spatial Point Patterns written by Adrian Baddeley and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-11 with Mathematics categories.
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
Statistical Methods For Spatial Data Analysis
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Author : Oliver Schabenberger
language : en
Publisher: CRC Press
Release Date : 2017-01-27
Statistical Methods For Spatial Data Analysis written by Oliver Schabenberger and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-27 with Mathematics categories.
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.
Spatial Statistics And Computational Methods
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Author : Jesper Møller
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Spatial Statistics And Computational Methods written by Jesper Møller 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 2013-04-17 with Mathematics categories.
Spatial statistics and Markov Chain Monte Carlo (MCMC) techniques have each undergone major developments in the last decade. Also, these two areas are mutually reinforcing, because MCMC methods are often necessary for the practical implementation of spatial statistical inference, while new spatial stochastic models in turn motivate the development of improved MCMC algorithms. This volume shows how sophisticated spatial statistical and computational methods apply to a range of problems of increasing importance for applications in science and technology. It consists of four chapters: 1. Petros Dellaportas and Gareth O. Roberts give a tutorial on MCMC methods, the computational methodology which is essential for virtually all the complex spatial models to be considered in subsequent chapters. 2. Peter J. Diggle, Paulo J, Ribeiro Jr., and Ole F. Christensen introduce the reader to the model- based approach to geostatistics, i.e. the application of general statistical principles to the formulation of explicit stochastic models for geostatistical data, and to inference within a declared class of models. 3. Merrilee A. Hurn, Oddvar K. Husby, and H?vard Rue discuss various aspects of image analysis, ranging from low to high level tasks, and illustrated with different examples of applications. 4. Jesper Moller and Rasmus P. Waggepetersen collect recent theoretical advances in simulation-based inference for spatial point processes, and discuss some examples of applications. The volume introduces topics of current interest in spatial and computational statistics, which should be accessible to postgraduate students as well as to experienced statistical researchers. It is partly based on the course material for the "TMR and MaPhySto Summer School on Spatial Statistics and Computational Methods," held at Aalborg University, Denmark, August 19-22, 2001.
The Isi International Conference On Environmental Statistics And Health
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Author : Jorge Mateu
language : en
Publisher: Univ Santiago de Compostela
Release Date : 2003-07-10
The Isi International Conference On Environmental Statistics And Health written by Jorge Mateu and has been published by Univ Santiago de Compostela this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-10 with categories.
Spatial Statistics And Spatio Temporal Data
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Author : Michael Sherman
language : en
Publisher: John Wiley & Sons
Release Date : 2011-01-06
Spatial Statistics And Spatio Temporal Data written by Michael Sherman 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 2011-01-06 with Mathematics categories.
In the spatial or spatio-temporal context, specifying the correct covariance function is fundamental to obtain efficient predictions, and to understand the underlying physical process of interest. This book focuses on covariance and variogram functions, their role in prediction, and appropriate choice of these functions in applications. Both recent and more established methods are illustrated to assess many common assumptions on these functions, such as, isotropy, separability, symmetry, and intrinsic correlation. After an extensive introduction to spatial methodology, the book details the effects of common covariance assumptions and addresses methods to assess the appropriateness of such assumptions for various data structures. Key features: An extensive introduction to spatial methodology including a survey of spatial covariance functions and their use in spatial prediction (kriging) is given. Explores methodology for assessing the appropriateness of assumptions on covariance functions in the spatial, spatio-temporal, multivariate spatial, and point pattern settings. Provides illustrations of all methods based on data and simulation experiments to demonstrate all methodology and guide to proper usage of all methods. Presents a brief survey of spatial and spatio-temporal models, highlighting the Gaussian case and the binary data setting, along with the different methodologies for estimation and model fitting for these two data structures. Discusses models that allow for anisotropic and nonseparable behaviour in covariance functions in the spatial, spatio-temporal and multivariate settings. Gives an introduction to point pattern models, including testing for randomness, and fitting regular and clustered point patterns. The importance and assessment of isotropy of point patterns is detailed. Statisticians, researchers, and data analysts working with spatial and space-time data will benefit from this book as well as will graduate students with a background in basic statistics following courses in engineering, quantitative ecology or atmospheric science.
Fmri Techniques And Protocols
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Author : Massimo Filippi
language : en
Publisher: Springer Nature
Release Date : 2025-06-02
Fmri Techniques And Protocols written by Massimo Filippi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-02 with Science categories.
This third edition volume expands on the previous edition with updates on the latest methodological aspects of fMRI and achievements made through the applications to the study of central nervous system functioning in the clinical field. The chapters in the book are organized in four parts: Part One talks about the basic knowledge for the understanding of the technical aspects of fMRI. Part Two describes the main findings obtained from the application of fMRI to study brain system function of healthy individuals. Part Three explores clinical findings obtained from the use of fMRI to assess the role of brain plasticity in major neurological and psychiatric conditions. Part Four presents novel approaches for the integration of fMRI data with measures of damage assessed using structural MR techniques and the use of fMRI to image spinal cord function. In the Neuromethods series style, chapters include the kind of detail and key advice from the specialists needed to get successful results in your laboratory. Cutting-edge and comprehensive, fMRI Techniques and Protocols, Third Edition provides clinicians and researchers with a “user-friendly” summary of the field, and helps them plan and carry out successful studies.
Multivariate Dispersion Central Regions And Depth
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Author : Karl Mosler
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Multivariate Dispersion Central Regions And Depth written by Karl Mosler 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 2012-12-06 with Mathematics categories.
This book introduces a new representation of probability measures, the lift zonoid representation, and demonstrates its usefulness in statistical applica tions. The material divides into nine chapters. Chapter 1 exhibits the main idea of the lift zonoid representation and surveys the principal results of later chap ters without proofs. Chapter 2 provides a thorough investigation into the theory of the lift zonoid. All principal properties of the lift zonoid are col lected here for later reference. The remaining chapters present applications of the lift zonoid approach to various fields of multivariate analysis. Chap ter 3 introduces a family of central regions, the zonoid trimmed regions, by which a distribution is characterized. Its sample version proves to be useful in describing data. Chapter 4 is devoted to a new notion of data depth, zonoid depth, which has applications in data analysis as well as in inference. In Chapter 5 nonparametric multivariate tests for location and scale are in vestigated; their test statistics are based on notions of data depth, including the zonoid depth. Chapter 6 introduces the depth of a hyperplane and tests which are built on it. Chapter 7 is about volume statistics, the volume of the lift zonoid and the volumes of zonoid trimmed regions; they serve as multivariate measures of dispersion and dependency. Chapter 8 treats the lift zonoid order, which is a stochastic order to compare distributions for their dispersion, and also indices and related orderings.