The Coordinate-free Approach to Linear Models 2024 pdf epub mobi 电子书

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发表于2024-11-24

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出版者:Cambridge Univ Pr

作者:Wichura, Michael J.

出品人:

页数:216

译者:

出版时间:2006-10

价格:$ 79.10

装帧:HRD

isbn号码:9780521868426

丛书系列:Cambridge Series in Statistical and Probabilistic Mathematics

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The Coordinate-free Approach to Linear Models 2024 pdf epub mobi 电子书图书描述

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.

The Coordinate-free Approach to Linear Models 2024 pdf epub mobi 电子书

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