Debasis Sengupta

S Rao Jammalamadaka

Starting with the basic linear model where the design and covariance matrices are of full rank, this book demonstrates how the same statistical ideas can be used to explore the more general linear model with rank-deficient design and/or covariance matrices. The unified treatment presented here provides a clearer understanding of the general linear model from a statistical perspective, thus avoiding the complex matrix-algebraic arguments that are often used in the rank-deficient case. Elegant geometric arguments are used as needed.The book has a very broad coverage, from illustrative practical examples in Regression and Analysis of Variance alongside their implementation using R, to providing comprehensive theory of the general linear model with 181 worked-out examples, 227 exercises with solutions, 152 exercises without solutions (so that they may be used as assignments in a course), and 320 up-to-date references.This completely updated and new edition of Linear Models: An Integrated Approach includes the following features:

Linear Models And Regression With R: An Integrated Approach

Ashis SenGupta

This research monograph on circular data analysis covers some recent advances in the field, besides providing a brief introduction to, and a review of, existing methods and models. The primary focus is on recent research into topics such as change-point problems, predictive distributions, circular correlation and regression, etc. An important feature of this work is the S-plus subroutines provided for analyzing actual data sets. Coupled with the discussion of new theoretical research, the book should benefit both the researcher and the practitioner. Contents:Circular Probability DistributionsSome Sampling DistributionsEstimation of ParametersTests for Mean Direction and ConcentrationTests for UniformityNonparametric Testing ProceduresCircular Correlation and RegressionPredictive Inference for Directional DataOutliers and Related ProblemsChange-Point ProblemsMiscellaneous TopicsSome Facts on Bessel FunctionsHow to Use the CircStats Package Readership: Researchers and practitioners dealing with circular data. Keywords:Directional Statistics;Circular Data;CircStat Programs;Von Mises Density;Circular Normal Distribution;Wrapped Stable Family;Spacings Tests;Circular Correlation and Regression;Two-Dimensional Directions;Circadian Rhythms;Cosinor Analysis;Tests of Isotropy or Uniformity

S Rao Jammalamadaka

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