Linear Models for Multivariate, Time Series, and Spatial Data
Linear Models for Multivariate, Time Series, and Spatial Data

Author: Ronald Christensen

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 329

ISBN-13: 1475741030

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This is a self-contained companion volume to the authors book "Plane Answers to Complex Questions: The Theory of Linear Models". It provides introductions to several topics related to linear model theory: multivariate linear models, discriminant analysis, principal components, factor analysis, time series in both the frequency and time domains, and spatial data analysis (geostatistics). The purpose of this volume is to use the three fundamental ideas of best linear prediction, projections, and Mahalanobis' distance to exploit their properties in examining multivariate, time series and spatial data. Ronald Christensen is Professor of Statistics at the University of New Mexico, and is recognised internationally as an expert in the theory and application of linear models.

Advanced Linear Modeling
Advanced Linear Modeling

Author: Ronald Christensen

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 412

ISBN-13: 1475738471

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This book introduces several topics related to linear model theory, including: multivariate linear models, discriminant analysis, principal components, factor analysis, time series in both the frequency and time domains, and spatial data analysis. This second edition adds new material on nonparametric regression, response surface maximization, and longitudinal models. The book provides a unified approach to these disparate subjects and serves as a self-contained companion volume to the author's Plane Answers to Complex Questions: The Theory of Linear Models. Ronald Christensen is Professor of Statistics at the University of New Mexico. He is well known for his work on the theory and application of linear models having linear structure.

Linear Models for Multivariate, Time Series, and Spatial Data
Linear Models for Multivariate, Time Series, and Spatial Data

Author: Ronald Christensen

Publisher: Springer Science & Business Media

Published: 1991

Total Pages: 335

ISBN-13: 038797413X

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A companion volume to Plane answers to complex questions: the theory of linear models (1987), presenting six chapters with shallow treatments of very broad topics showing how the properties of three fundamental ideas from standard linear model theory can be used to examine multivariate, time series,

Plane Answers to Complex Questions
Plane Answers to Complex Questions

Author: Ronald Christensen

Publisher: Springer Science & Business Media

Published: 1996

Total Pages: 480

ISBN-13:

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This textbook provides a wide-ranging introduction to the use of linear models in analyzing data. The author's emphasis is on providing a unified treatment of the analysis of variance models and regression models by presenting a vector space and projections approach to the subject. Every chapter comes with numerous exercises and examples, which will make it ideal for a graduate-level course on this subject.

Linear Models
Linear Models

Author: Debasis Sengupta

Publisher: World Scientific

Published: 2003

Total Pages: 652

ISBN-13: 9789812564900

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Linear Models: An Integrated Approach aims to provide a clearand deep understanding of the general linear model using simplestatistical ideas. Elegant geometric arguments are also invoked asneeded and a review of vector spaces and matrices is provided to makethe treatment self-contained.

Advanced Linear Modeling
Advanced Linear Modeling

Author: Ronald Christensen

Publisher: Springer Nature

Published: 2019-12-20

Total Pages: 618

ISBN-13: 3030291642

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This book introduces several topics related to linear model theory, including: multivariate linear models, discriminant analysis, principal components, factor analysis, time series in both the frequency and time domains, and spatial data analysis. This second edition adds new material on nonparametric regression, response surface maximization, and longitudinal models. The book provides a unified approach to these disparate subjects and serves as a self-contained companion volume to the author's Plane Answers to Complex Questions: The Theory of Linear Models. Ronald Christensen is Professor of Statistics at the University of New Mexico. He is well known for his work on the theory and application of linear models having linear structure.

Probability for Statisticians
Probability for Statisticians

Author: Galen R. Shorack

Publisher: Springer Science & Business Media

Published: 2006-05-02

Total Pages: 599

ISBN-13: 0387227601

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The choice of examples used in this text clearly illustrate its use for a one-year graduate course. The material to be presented in the classroom constitutes a little more than half the text, while the rest of the text provides background, offers different routes that could be pursued in the classroom, as well as additional material that is appropriate for self-study. Of particular interest is a presentation of the major central limit theorems via Steins method either prior to or alternative to a characteristic function presentation. Additionally, there is considerable emphasis placed on the quantile function as well as the distribution function, with both the bootstrap and trimming presented. The section on martingales covers censored data martingales.

Elements of Large-Sample Theory
Elements of Large-Sample Theory

Author: E.L. Lehmann

Publisher: Springer Science & Business Media

Published: 2006-04-18

Total Pages: 640

ISBN-13: 0387227296

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Written by one of the main figures in twentieth century statistics, this book provides a unified treatment of first-order large-sample theory. It discusses a broad range of applications including introductions to density estimation, the bootstrap, and the asymptotics of survey methodology. The book is written at an elementary level making it accessible to most readers.

Spatial Statistics and Geostatistics
Spatial Statistics and Geostatistics

Author: Yongwan Chun

Publisher: SAGE

Published: 2013-01-11

Total Pages: 201

ISBN-13: 1446272117

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"Ideal for anyone who wishes to gain a practical understanding of spatial statistics and geostatistics. Difficult concepts are well explained and supported by excellent examples in R code, allowing readers to see how each of the methods is implemented in practice" - Professor Tao Cheng, University College London Focusing specifically on spatial statistics and including components for ArcGIS, R, SAS and WinBUGS, this book illustrates the use of basic spatial statistics and geostatistics, as well as the spatial filtering techniques used in all relevant programs and software. It explains and demonstrates techniques in: spatial sampling spatial autocorrelation local statistics spatial interpolation in two-dimensions advanced topics including Bayesian methods, Monte Carlo simulation, error and uncertainty. It is a systematic overview of the fundamental spatial statistical methods used by applied researchers in geography, environmental science, health and epidemiology, population and demography, and planning. A companion website includes digital R code for implementing the analyses in specific chapters and relevant data sets to run the R codes.

Statistics in the 21st Century
Statistics in the 21st Century

Author: Adrian E. Raftery

Publisher: CRC Press

Published: 2001-07-09

Total Pages: 571

ISBN-13: 1420035398

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This volume discusses an important area of statistics and highlights the most important statistical advances. It is divided into four sections: statistics in the life and medical sciences, business and social science, the physical sciences and engineering, and theory and methods of statistics.