Covering a growing area of research, Spatial Analysis highlights the latest advances in the field with an emphasis on applications. Written by world-renowned authors, this breakthrough text provides insight into the statistical investigation of the interdependence of random variables as a function of their proximity in space and time. The first work to provide this blend of theory and application, this text is essential for advanced undergraduate and postgraduate students, as well as researchers in the field. Numerous examples and exercises are included at the end of each chapter.

Spatial Analysis (Wiley Series in Probability and Statistics)

Science & Math

Mardia, Kanti V.

Kent, John T.

Mathematics

wiley

Comprehensive Reference Work on Multivariate Analysis and Its Applications The first edition of this book, by Mardia, Kent and Bibby, has been widely used globally for over 40 years. This second edition brings many topics up to date, with a special emphasis on recent developments. A wide range of material in multivariate analysis is covered, including the classical themes of multivariate normal theory, multivariate regression, inference, multidimensional scaling, factor analysis, cluster analysis and principal component analysis. The book also now covers modern developments such as graphical models, robust estimation, statistical learning, and high-dimensional methods. The book expertly blends theory and application, providing numerous worked examples and exercises at the end of each chapter. The reader is assumed to have a basic knowledge of mathematical statistics at an undergraduate level together with an elementary understanding of linear algebra. There are appendices which provide a background in matrix algebra, a summary of univariate statistics, a collection of statistical tables and a discussion of computational aspects. The work includes coverage of: <ul> <li>Basic properties of random vectors, normal distribution theory, and estimation</li> <li>Hypothesis testing, multivariate regression, and analysis of variance</li> <li>Principal component analysis, factor analysis, and canonical correlation analysis</li> <li>Cluster analysis and multidimensional scaling</li> <li>New advances and techniques, including statistical learning, graphical models and regularization methods for high-dimensional data</li> </ul> Although primarily designed as a textbook for final year undergraduates and postgraduate students in mathematics and statistics, the book will also be of interest to research workers and applied scientists.

Multivariate Analysis (Wiley Series in Probability and Statistics)

Taylor, Charles C.

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