The Coordinate-Free Approach to Linear Models: 19 (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 19) - Image 1

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Cambridge University Press The Coordinate-Free Approach to Linear Models: 19 (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 19)

Name: The Coordinate-Free Approach to Linear Models: 19 (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 19)
Brand: Cambridge University Press
Price: 40.0 GBP
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Description

This book is about the coordinate-free, or geometric, approach to the theory of linear models; more precisely, Model I ANOVA and linear regression models with non-random predictors in a finite-dimensional setting. This approach is more insightful, more elegant, more direct, and simpler than the more common matrix approach to linear regression, analysis of variance, and analysis of covariance models in statistics. The book discusses the intuition behind and optimal properties of various methods of estimating and testing hypotheses about unknown parameters in the models. Topics covered range from linear algebra, such as inner product spaces, orthogonal projections, book orthogonal spaces, Tjur experimental designs, basic distribution theory, the geometric version of the Gauss-Markov theorem, optimal and non-optimal properties of Gauss-Markov, Bayes, and shrinkage estimators under assumption of normality, the optimal properties of F-test, and the analysis of covariance and missing observations.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 0521868424
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Modelling
Domain: Amazon UK
Release Date: 04 January 2007
Listed Since: 29 January 2007

Cambridge University Press The Coordinate-Free Approach to Linear Models: 19 (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 19)

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