Matrix differential calculus with applications in statistics and econometrics

This book provides a self-contained and unified treatment of matrix differential calculus, aimed at econometricians and statisticians. It can be used as a textbook for senior undergraduate or graduate courses on the subject, and will also be a valuable source for professional econometricians and sta...

Full description

Saved in:
Bibliographic Details
Main Author: Magnus, Jan R.
Other Authors: Neudecker, Heinz
Format: Book
Language:English
Published: New York John Wiley & Sons 1999
Subjects:
Tags: Add Tag
No Tags, Be the first to tag this record!

MARC

LEADER 00000cam a2200000 a 4500
001 1022
003 MY-KLNDU
005 20241218050815.0
008 151231 1999 nyua bi 000 0 eng d
020 |a 0471986321 (alk paper) 
020 |a 047198633X (pbk :alk paper) 
039 9 |a 201512311444  |b azraai  |c 200910081252  |d VLOAD  |y 200910081138  |z VLOAD 
040 |a UPNM 
090 |a QA 188  |b .M345 1999 
100 1 |a Magnus, Jan R. 
245 1 0 |a Matrix differential calculus with applications in statistics and econometrics  |c Jan R. Magnus and Heinz Neudecker 
246 3 |a Matrix differential calculus 
260 |a New York  |b John Wiley & Sons  |c 1999 
300 |a xviii, 395 p.  |b ill.  |c 23 cm 
504 |a Includes bibliographical references and index 
505 0 |a Kronecker Products, the Vec Operator and the Moore-Penrose Inverse --- Differentials and Differentiability --- The Second Differential --- Static Optimization --- First Order Differentials and Jacobian Matrices --- Second Order Differentials and Hessian Matrices --- The Linear Regression Model --- Further Topics in the Linear Model --- Simultaneous Equations --- Topics in Psychometrics. 
520 |a This book provides a self-contained and unified treatment of matrix differential calculus, aimed at econometricians and statisticians. It can be used as a textbook for senior undergraduate or graduate courses on the subject, and will also be a valuable source for professional econometricians and statisticians who want to learn and apply these important techniques. The authors base their approach on differentials rather than derivatives, and they show that the use of differentials is elegant, easy and considerably more useful in applications. No specialist knowledge of matrix algebra or calculus is required, since the basics of matrix algebra are covered in the first three chapters with a thorough treatment of multivariable calculus provided in Chapters Four to Seven. Exercises are included in each chapter, and many examples which illustrate applications of the theory are considered in detail. 
650 0 |a Matrices 
650 0 |a Differential calculus 
650 0 |a Statistics 
650 0 |a Econometrics 
700 1 |a Neudecker, Heinz 
999 |a vtls000000807  |c 1022  |d 1022