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Titlebook: Linear Regression; Jürgen Groß Book 2003 Springer-Verlag Berlin Heidelberg 2003 Covariance matrix.Estimator.Least Squares.Point Estimation

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发表于 2025-3-21 16:25:08 | 显示全部楼层 |阅读模式
书目名称Linear Regression
编辑Jürgen Groß
视频video
概述Includes supplementary material:
丛书名称Lecture Notes in Statistics
图书封面Titlebook: Linear Regression;  Jürgen Groß Book 2003 Springer-Verlag Berlin Heidelberg 2003 Covariance matrix.Estimator.Least Squares.Point Estimation
描述In linear regression the ordinary least squares estimator plays a central role and sometimes one may get the impression that it is the only reasonable and applicable estimator available. Nonetheless, there exists a variety of alterna­ tives, proving useful in specific situations. Purpose and Scope. This book aims at presenting a comprehensive survey of different point estimation methods in linear regression, along with the the­ oretical background on a advanced courses level. Besides its possible use as a companion for specific courses, it should be helpful for purposes of further reading, giving detailed explanations on many topics in this field. Numerical examples and graphics will aid to deepen the insight into the specifics of the presented methods. For the purpose of self-containment, the basic theory of linear regression models and least squares is presented. The fundamentals of decision theory and matrix algebra are also included. Some prior basic knowledge, however, appears to be necessary for easy reading and understanding.
出版日期Book 2003
关键词Covariance matrix; Estimator; Least Squares; Point Estimation; Regression; Variance; linear regression
版次1
doihttps://doi.org/10.1007/978-3-642-55864-1
isbn_softcover978-3-540-40178-0
isbn_ebook978-3-642-55864-1Series ISSN 0930-0325 Series E-ISSN 2197-7186
issn_series 0930-0325
copyrightSpringer-Verlag Berlin Heidelberg 2003
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Jürgen GroßIncludes supplementary material:
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Lecture Notes in Statisticshttp://image.papertrans.cn/l/image/586410.jpg
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Linear Admissibilitymator for ß , supposed to be admissible within the set of all linear estimators. This guarantees that the considered alternative linear estimator is better than the ordinary least squares estimator for at least one possible value of the unknown ß. The actual chapter investigates the structure of linearly admissible estimators.
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The Linear Regression ModelIn this chapter, we consider point estimation of the parameters ß ∈ ℝ. and σ. ∈ (0, ∞) in the linear regression model . We will focus our attention to the . . and the . . both estimators being unbiased for ß and σ., respectively.
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Stochastic VectorsResults for vectors and matrices whose elements are random variables are given.
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An Example Analysis with RIn this chapter we describe a possible analysis of a linear regression model with the statistical-computing environment R, based on the S language. R is available through the Internet under the General Public License (GPL) and can be downloaded from one of the CRAN (Comprehensive R Archive Network) sites. See the main site
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