國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Linear model theoryexercises and sol...

SpringerLink (Online service)

Linear model theoryexercises and solutions /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Linear model theoryby Dale L. Zimmerman.
其他題名:	exercises and solutions /
作者:	Zimmerman, Dale L.
出版者:	Cham :Springer International Publishing :2020.
面頁冊數:	vii, 353 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Linear models (Statistics)
電子資源:	https://doi.org/10.1007/978-3-030-52074-8
ISBN:	9783030520748$q(electronic bk.)

Linear model theoryexercises and solutions /
Zimmerman, Dale L.

Linear model theoryexercises and solutions /[electronic resource] :by Dale L. Zimmerman. - Cham :Springer International Publishing :2020. - vii, 353 p. :ill., digital ;24 cm.

1 A Brief Introduction -- 2 Selected Matrix Algebra Topics and Results -- 3 Generalized Inverses and Solutions to Sytems of Linear Equations -- 4 Moments of a Random Vector and of Linear and Quadratic Forms in a Random Vector -- 5 Types of Linear Models -- 6 Estimability -- 7 Least Squares Estimation for the Gauss-Markov Model -- 8 Least Squares Geometry and the Overall ANOVA -- 9 Least Squares Estimation and ANOVA for Partitioned Models -- 10 Constrained Least Squares Estimation and ANOVA -- 11 Best Linear Unbiased Estimation for the Aitken Model -- 12 Model Misspecification -- 13 Best Linear Unbiased Prediction -- 14 Distribution Theory -- 15 Inference for Estimable and Predictable Functions -- 16 Inference for Variance-Covariance Parameters -- 17 Empirical BLUE and BLUP.

This book contains 296 exercises and solutions covering a wide variety of topics in linear model theory, including generalized inverses, estimability, best linear unbiased estimation and prediction, ANOVA, confidence intervals, simultaneous confidence intervals, hypothesis testing, and variance component estimation. The models covered include the Gauss-Markov and Aitken models, mixed and random effects models, and the general mixed linear model. Given its content, the book will be useful for students and instructors alike. Readers can also consult the companion textbook Linear Model Theory - With Examples and Exercises by the same author for the theory behind the exercises.

ISBN: 9783030520748$q(electronic bk.)

Standard No.: 10.1007/978-3-030-52074-8doiSubjects--Topical Terms:

181866
Linear models (Statistics)

LC Class. No.: QA276.2 / .Z56 2020

Dewey Class. No.: 519.5

Linear model theoryexercises and solutions /
LDR:02442nmm a2200325 a 4500 001 589623
003 DE-He213
005 20210311135012.0
006 m d
007 cr nn 008maaau
008 210601s2020 sz s 0 eng d
020 $a 9783030520748$q(electronic bk.)
020 $a 9783030520731$q(paper)
024 7 $a 10.1007/978-3-030-52074-8 $2 doi
035 $a 978-3-030-52074-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA276.2 $b .Z56 2020
072 7 $a PBT $2 bicssc
072 7 $a MAT029000 $2 bisacsh
072 7 $a PBT $2 thema
082 0 4 $a 519.5 $2 23
090 $a QA276.2 $b .Z72 2020
100 1 $a Zimmerman, Dale L. $3 507083
245 1 0 $a Linear model theory $h [electronic resource] : $b exercises and solutions / $c by Dale L. Zimmerman.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a vii, 353 p. : $b ill., digital ; $c 24 cm.
505 0 $a 1 A Brief Introduction -- 2 Selected Matrix Algebra Topics and Results -- 3 Generalized Inverses and Solutions to Sytems of Linear Equations -- 4 Moments of a Random Vector and of Linear and Quadratic Forms in a Random Vector -- 5 Types of Linear Models -- 6 Estimability -- 7 Least Squares Estimation for the Gauss-Markov Model -- 8 Least Squares Geometry and the Overall ANOVA -- 9 Least Squares Estimation and ANOVA for Partitioned Models -- 10 Constrained Least Squares Estimation and ANOVA -- 11 Best Linear Unbiased Estimation for the Aitken Model -- 12 Model Misspecification -- 13 Best Linear Unbiased Prediction -- 14 Distribution Theory -- 15 Inference for Estimable and Predictable Functions -- 16 Inference for Variance-Covariance Parameters -- 17 Empirical BLUE and BLUP.
520 $a This book contains 296 exercises and solutions covering a wide variety of topics in linear model theory, including generalized inverses, estimability, best linear unbiased estimation and prediction, ANOVA, confidence intervals, simultaneous confidence intervals, hypothesis testing, and variance component estimation. The models covered include the Gauss-Markov and Aitken models, mixed and random effects models, and the general mixed linear model. Given its content, the book will be useful for students and instructors alike. Readers can also consult the companion textbook Linear Model Theory - With Examples and Exercises by the same author for the theory behind the exercises.
650 0 $a Linear models (Statistics) $3 181866
650 0 $a Mathematical statistics $3 182294
650 0 $a Statistics. $3 182057
650 0 $a Matrices. $3 181876
650 0 $a Algebra. $3 188312
650 1 4 $a Statistical Theory and Methods. $3 274054
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 274063
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-030-52074-8
950 $a Mathematics and Statistics (SpringerNature-11649)