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This book introduces a new generation of statistical econometrics. After linear models leading to analytical expressions for estimators, and non-linear models using numerical optimization algorithms, the availability of high- speed computing has enabled econometricians to consider econometric models without simple analytical expressions. The previous difficulties presented by the presence of integrals of large dimensions in the probability density functions or in the moments can be circumvented by a simulation-based approach. After a brief survey of classical parametric and semi-parametric non-linear estimation methods and a description of problems in which criterion functions contain integrals, the authors present a general form
of the model where it is possible to simulate the observations. They then move to calibration problems and the simulated analogue of the method of moments, before considering simulated versions of maximum likelihood, pseudo-maximum likelihood, or non-linear least squares. The general principle of indirect inference is presented and is then applied to limited dependent variable models and to financial series.
Readership: Graduate students, academic and applied econometricians.
Christian Gouriéroux, Professor of Econometrics, ENSAE and the University of Paris IX, and Alain Monfort, Director of CREST, Paris; Professor of Statistics, ENSAE and the École Polytechnique, Paris
"A thorough study." - ASLIB Book Guide
"'...The remaining chapters are devoted to applications.These are very useful since they give a precise idea of what has to be done in order to implement, from a practical point of view, the theoretical methods discussed...This book provides a very good review of the available methods that are proposed in recent econometric literature, along with a critical discussion...'" - Economic Notes 3
1: Introduction and Motivations
2: The Method of Simulated Moments
3: Simulated Maximum Likelihood, Pseudo-maximum Likelihood, and Nonliner Least Squares Methods
4: Indirect Inference
5: Applications of Limited Dependent Variable Models
6: Applications to Financial Series
7: Applications to Switching Regime Models