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Stochastic Geometry : Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 13-18, 2004

Contains the lectures given at the CIME summer school in Martina Franca in September 1974. The four main lecturers covered the areas of Spatial Statistics, Random Points, Integral Geometry and Random Sets, they are complemented by two additional contributions on Random Mosaics and Crystallization Processes. The book presents an up-to-date description of important parts of Stochastic Geometry.

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Spatial Econometrics : Selected Essays

In recent years the so-called new economic geography and the issue of regional economic convergence have increasingly drawn the interest of economists to the empirical analysis of regional and spatial data. Spatial econometric techniques receive little or no attention in the major econometric textbooks. Very occasionally the standard econometric textbooks devote a few paragraphs to the subject, but most of them simply ignore the subject. On the other hand spatial econometric books (such as Anselin, 1988 or Anselin, Florax and Rey, 2004) provide comprehensive and - haustive treatments of the topic, but are not always easily accessible for people whose main degree is not in quantitative economics or statistics. This book aims at bridging the gap between economic theory and spatial stat- tical methods.

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Modélisation et statistique spatiales = Spatial modeling and statistics

Spatial statistics are undergoing significant development due to their use in many fields: earth sciences, environment and climatology, epidemiology, econometrics, image analysis, etc. This book presents the main spatial models used as well as their statistics for the three types of data: geostatistics (observation on a continuous domain), data on a discrete network, point data. The objective is to present in a concise but mathematically complete way the most classical models (second order and variogram; software model and Gibbs-Markov field; point processes) as well as their simulation by MCMC algorithm. Then comes the presentation of statistical tools useful for their study.

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Information Geometry : Near Randomness and Near Independence

This volume will be useful to practising scientists and students working in the application of statistical models to real materials or to processes with perturbations of a Poisson process, a uniform process, or a state of independence for a bivariate process. We use information geometry to provide a common differential geometric framework for a wide range of illustrative applications including amino acid sequence spacings in protein chains, cryptology studies, clustering of communications and galaxies, cosmological voids, coupled spatial statistics in stochastic fibre networks and stochastic porous media, quantum chaology. Introduction sections are provided to mathematical statistics, differential geometry and the information geometry of spaces of probability density functions.

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Handbook of Mathematical Geosciences : Fifty Years of IAMG

Presents a compilation of invited path-breaking research contributions by award-winning geoscientists who have been instrumental in shaping the IAMG. It contains 45 chapters that are categorized broadly into five parts (i) theory, (ii) general applications, (iii) exploration and resource estimation, (iv) reviews, and (v) reminiscences covering related topics like mathematical geosciences, mathematical morphology, geostatistics, fractals and multifractals, spatial statistics, multipoint geostatistics, compositional data analysis, informatics, geocomputation, numerical methods, and chaos theory in the geosciences.

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Essential Fish Habitat Mapping in the Mediterranean

This book presents latest advances in EFH mapping and modelling and introduces the environmental approach to EFH identification through the combined use of latest technologies and advanced techniques, such as Remote Sensing, Geographic Information Systems and Spatial Statistics.The contents of this book include overviews and comparisons of different approaches on species habitat modelling, methods to identify teleconnection patterns between large-scale meteo-oceanic phenomena and local environmental variation, and EFH maps for cephalopod, shrimp, hake, anchovy, sardine, and swordfish resources in the Mediterranean.

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Data Assimilation : The Ensemble Kalman Filter

Data Assimilation comprehensively covers data assimilation and inverse methods, including both traditional state estimation and parameter estimation. This text and reference focuses on various popular data assimilation methods, such as weak and strong constraint variational methods and ensemble filters and smoothers. It is demonstrated how the different methods can be derived from a common theoretical basis, as well as how they differ and/or are related to each other, and which properties characterize them, using several examples.It presents the mathematical framework and derivations in a way which is common for any discipline where dynamics is merged with measurements. The mathematics level is modest, although it requires knowledge of basic spatial statistics, Bayesian statistics, and calculus of variations. Readers will also appreciate the introduction to the mathematical methods used and detailed derivations, which should be easy to follow, are given throughout the book. The codes used in several of the data assimilation experiments are available on a web page.The focus on ensemble methods, such as the ensemble Kalman filter and smoother, also makes it a solid reference to the derivation, implementation and application of such techniques. Much new material, in particular related to the formulation and solution of combined parameter and state estimation problems and the general properties of the ensemble algorithms, is available here for the first time.

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Collecting spatial data : Optimum design of experiments for random fields

The book is concerned with the statistical theory for locating spatial sensors. It bridges the gap between spatial statistics and optimum design theory. The revised edition contains additional material on design for detecting spatial dependence and for estimating parametrized covariance functions.

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Location, Transport and Land-Use : Modelling Spatial-Temporal Information

Shows the use of statistical tools for forecasting and analyzing implications of land-use decisions. The idea is that la- use on a map is necessarily a consequence of individual, and often conflicting, siting decisions over time.

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Competition in Marketing : Two Essays on the Impact of Information on Managerial Decisions and on Spatial Product Differentiation

In her first essay Vera Magin uses primary experimental data to explore the effects of information on marketing decisions, performance, and competition. In her second essay the author discusses several approaches to measure product differentiation in spatial contexts. In doing so, she refers to the measurement of diversity and also applies methods from disciplines like spatial statistics, forestry, and geography.

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Applied Spatial Data Analysis with R

Applied Spatial Data Analysis with R is divided into two basic parts, the first presenting R packages, functions, classes and methods for handling spatial data, The second part showcases more specialised kinds of spatial data analysis, including spatial point pattern analysis, interpolation and geostatistics, areal data analysis and disease mapping.

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Analysing Ecological Data

This book provides a practical introduction to analysing ecological data using real data sets collected as part of postgraduate ecological studies or research projects. The first part of the book gives a largely non-mathematical introduction to data exploration, univariate methods (including GAM and mixed modelling techniques), multivariate analysis, time series analysis (e.g. common trends) and spatial statistics. The second part provides 17 case studies, mainly written together with biologists who attended courses given by the first authors. The case studies include topics ranging from terrestrial ecology to marine biology.

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Advances in Geoinformatics : VIII Brazilian Symposium on Geoinformatics, GEOINFO 2006, Campos do Jordão (SP), Brazil, November 19-22, 2006

The GeoInfo series of scientific conferences is an annual forum for exploring research, development and innovative applications in geographic information science and related areas. This book provides a privileged view of what is currently happening in the field of geoinformatics, and a preview of what could be the hotter developments and research topics a few years from now. Additionally, it includes recent research results on spatial databases, spatial ontologies, computational geometry and visualization for geographic information systems, geostatistics and spatial statistics, spatial analysis, interoperability, and innovative applications of geotechnologies.

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