Generalized least squares
著者
書誌事項
Generalized least squares
(Wiley series in probability and mathematical statistics)
J. Wiley, c2004
大学図書館所蔵 全36件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references (p. 281-286) and index
内容説明・目次
内容説明
"Generalised Least Squares" adopts a concise and mathematically rigorous approach. It will provide an up-to-date self-contained introduction to the unified theory of generalized least squares estimations, adopting a concise and mathematically rigorous approach. The book covers in depth the 'lower and upper bounds approach', pioneered by the first author, which is widely regarded as a very powerful and useful tool for generalized least squares estimation, helping the reader develop their understanding of the theory. The book also contains exercises at the end of each chapter and applications to statistics, econometrics, and biometrics, enabling use for self-study or as a course text.
目次
Preface.1 Preliminaries.1.1 Overview.1.2 Multivariate Normal and Wishart Distributions.1.3 Elliptically Symmetric Distributions.1.4 Group Invariance.1.5 Problems.2 Generalized Least Squares Estimators.2.1 Overview.2.2 General Linear Regression Model.2.3 Generalized Least Squares Estimators.2.4 Finiteness of Moments and Typical GLSEs.2.5 Empirical Example: CO2 Emission Data.2.6 Empirical Example: Bond Price Data.2.7 Problems.3 Nonlinear Versions of the Gauss-Markov Theorem.3.1 Overview.3.2 Generalized Least Squares Predictors.3.3 A Nonlinear Version of the Gauss-Markov Theorem in Prediction.3.4 A Nonlinear Version of the Gauss-Markov Theorem in Estimation.3.5 An Application to GLSEs with Iterated Residuals.3.6 Problems.4 SUR and Heteroscedastic Models.4.1 Overview.4.2 GLSEs with a Simple Covariance Structure.4.3 Upper Bound for the Covariance Matrix of a GLSE.4.4 Upper Bound Problem for the UZE in an SUR Model.4.5 Upper Bound Problems for a GLSE in a Heteroscedastic Model.4.6 Empirical Example: CO2 Emission Data.4.7 Problems.5 Serial Correlation Model.5.1 Overview.5.2 Upper Bound for the Risk Matrix of a GLSE.5.3 Upper Bound Problem for a GLSE in the Anderson Model.5.4 Upper Bound Problem for a GLSE in a Two-equation Heteroscedastic Model.5.5 Empirical Example: Automobile Data.5.6 Problems.6 Normal Approximation.6.1 Overview.6.2 Uniform Bounds for Normal Approximations to the Probability Density Functions.6.3 Uniform Bounds for Normal Approximations to the Cumulative Distribution Functions.6.4 Problems.7 Extension of Gauss-Markov Theorem.7.1 Overview.7.2 An Equivalence Relation on S(n).7.3 A Maximal Extension of the Gauss-Markov Theorem.7.4 Nonlinear Versions of the Gauss-Markov Theorem.7.5 Problems.8 Some Further Extensions.8.1 Overview.8.2 Concentration Inequalities for the Gauss-Markov Estimator.8.3 Efficiency of GLSEs under Elliptical Symmetry.8.4 Degeneracy of the Distributions of GLSEs.8.5 Problems.9 Growth Curve Model and GLSEs.9.1 Overview.9.2 Condition for the Identical Equality between the GME and the OLSE.9.3 GLSEs and Nonlinear Version of the Gauss-Markov Theorem .9.4 Analysis Based on a Canonical Form.9.5 Efficiency of GLSEs.9.6 Problems.A. Appendix.A.1 Asymptotic Equivalence of the Estimators of theta in the AR(1) Error Model and Anderson Model.Bibliography.Index.
「Nielsen BookData」 より