Publisher Description

Although geometry has always aided intuition in econometrics, it is only recently that Differential Geometry has become a standard tool in the analysis of statistical models, offering a deeper appreciation of existing methodologies and highlighting the essential issues which can be hidden in an algebraic development of a problem. This volume is the first to apply these techniques to econometrics. An introductory chapter provides a brief tutorial for those unfamiliar with the tools of Differential Geometry. The topics covered in the following chapters demonstrate the power of the geometric method to provide practical solutions and insight into problems of econometric inference.

Table of Contents

Introduction P. Marriott and M. Salmon; 1. An introduction to differential geometry P. Marriott and M. Salmon; 2. Orthogonal projection, nested models and encompassing Maozu Lu and G. Mizon; 3. Exact properties of the maximum likelihood estimator in exponential regression models G. Hillier and R. O'Brien; 4. Empirical likelihood estimation and inference R. Smith; 5. Measuring earnings differentials with frontier functions and Rao distances U. Jensen; 6. First order predictive densities J. M. Corcuera and F. Giummole; 7. An alternative comparison of classical tests: assessing the effects of curvature K. J. van Garderen; 8. Testing for unit roots in AR and MA Models T. Rothenberg; 9. Efficiency and robustness in a geometrical perspective R. Davidson; 10. Paramaterisations and transformations; An elementary introduction to Amari's differential geometry F. Critchley, P. Marriott and M. Salmon.

Review

"I strongly recommend [this book] for computational minded statisticians and economists." J. Statist. Comput. Simul.

Promotional

Originally published in 2000, this volume was an early example of the application of differential geometry to econometrics.

Review Quote

"I strongly recommend [this book] for computational minded statisticians and economists." J. Statist. Comput. Simul.

Promotional "Headline"

Originally published in 2000, this volume was an early example of the application of differential geometry to econometrics.

Description for Bookstore

Differential geometry has become a standard tool in the analysis of statistical models, offering a deeper appreciation of existing methodologies and highlighting the issues which can be hidden by algebraic development. Originally published in 2000, this volume was an early example of the application of these techniques to econometrics.

Description for Library

Differential geometry has become a standard tool in the analysis of statistical models, offering a deeper appreciation of existing methodologies and highlighting the issues which can be hidden by algebraic development. Originally published in 2000, this volume was an early example of the application of these techniques to econometrics.

Details