Robust Methods and Asymptotic Theory in Nonlinear Econometrics

Robust Methods and Asymptotic Theory in Nonlinear Econometrics

Author: H. J. Bierens

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 211

ISBN-13: 3642455298

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This Lecture Note deals with asymptotic properties, i.e. weak and strong consistency and asymptotic normality, of parameter estimators of nonlinear regression models and nonlinear structural equations under various assumptions on the distribution of the data. The estimation methods involved are nonlinear least squares estimation (NLLSE), nonlinear robust M-estimation (NLRME) and non linear weighted robust M-estimation (NLWRME) for the regression case and nonlinear two-stage least squares estimation (NL2SLSE) and a new method called minimum information estimation (MIE) for the case of structural equations. The asymptotic properties of the NLLSE and the two robust M-estimation methods are derived from further elaborations of results of Jennrich. Special attention is payed to the comparison of the asymptotic efficiency of NLLSE and NLRME. It is shown that if the tails of the error distribution are fatter than those of the normal distribution NLRME is more efficient than NLLSE. The NLWRME method is appropriate if the distributions of both the errors and the regressors have fat tails. This study also improves and extends the NL2SLSE theory of Amemiya. The method involved is a variant of the instrumental variables method, requiring at least as many instrumental variables as parameters to be estimated. The new MIE method requires less instrumental variables. Asymptotic normality can be derived by employing only one instrumental variable and consistency can even be proved with out using any instrumental variables at all.


Book Synopsis Robust Methods and Asymptotic Theory in Nonlinear Econometrics by : H. J. Bierens

Download or read book Robust Methods and Asymptotic Theory in Nonlinear Econometrics written by H. J. Bierens and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Lecture Note deals with asymptotic properties, i.e. weak and strong consistency and asymptotic normality, of parameter estimators of nonlinear regression models and nonlinear structural equations under various assumptions on the distribution of the data. The estimation methods involved are nonlinear least squares estimation (NLLSE), nonlinear robust M-estimation (NLRME) and non linear weighted robust M-estimation (NLWRME) for the regression case and nonlinear two-stage least squares estimation (NL2SLSE) and a new method called minimum information estimation (MIE) for the case of structural equations. The asymptotic properties of the NLLSE and the two robust M-estimation methods are derived from further elaborations of results of Jennrich. Special attention is payed to the comparison of the asymptotic efficiency of NLLSE and NLRME. It is shown that if the tails of the error distribution are fatter than those of the normal distribution NLRME is more efficient than NLLSE. The NLWRME method is appropriate if the distributions of both the errors and the regressors have fat tails. This study also improves and extends the NL2SLSE theory of Amemiya. The method involved is a variant of the instrumental variables method, requiring at least as many instrumental variables as parameters to be estimated. The new MIE method requires less instrumental variables. Asymptotic normality can be derived by employing only one instrumental variable and consistency can even be proved with out using any instrumental variables at all.

Robust Methods and Asymptotic Theory in Nonlinear Econometrics

Robust Methods and Asymptotic Theory in Nonlinear Econometrics

Author: Herman J. Bierens

Publisher:

Published: 1981

Total Pages: 198

ISBN-13: 9780387108384

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Book Synopsis Robust Methods and Asymptotic Theory in Nonlinear Econometrics by : Herman J. Bierens

Download or read book Robust Methods and Asymptotic Theory in Nonlinear Econometrics written by Herman J. Bierens and published by . This book was released on 1981 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Robust Methods and Asymptotic Theory in Nonlinear Econometrics

Robust Methods and Asymptotic Theory in Nonlinear Econometrics

Author: Henri R. Sneessens

Publisher:

Published: 1981

Total Pages: 138

ISBN-13: 9780387108377

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Book Synopsis Robust Methods and Asymptotic Theory in Nonlinear Econometrics by : Henri R. Sneessens

Download or read book Robust Methods and Asymptotic Theory in Nonlinear Econometrics written by Henri R. Sneessens and published by . This book was released on 1981 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Robust methods and asymptotic theory in nonlinear econometric

Robust methods and asymptotic theory in nonlinear econometric

Author: Herman J. Bierens

Publisher:

Published: 1981

Total Pages:

ISBN-13:

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Book Synopsis Robust methods and asymptotic theory in nonlinear econometric by : Herman J. Bierens

Download or read book Robust methods and asymptotic theory in nonlinear econometric written by Herman J. Bierens and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamic Nonlinear Econometric Models

Dynamic Nonlinear Econometric Models

Author: Benedikt M. Pötscher

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 307

ISBN-13: 3662034867

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Many relationships in economics, and also in other fields, are both dynamic and nonlinear. A major advance in econometrics over the last fifteen years has been the development of a theory of estimation and inference for dy namic nonlinear models. This advance was accompanied by improvements in computer technology that facilitate the practical implementation of such estimation methods. In two articles in Econometric Reviews, i.e., Pötscher and Prucha {1991a,b), we provided -an expository discussion of the basic structure of the asymptotic theory of M-estimators in dynamic nonlinear models and a review of the literature up to the beginning of this decade. Among others, the class of M-estimators contains least mean distance estimators (includ ing maximum likelihood estimators) and generalized method of moment estimators. The present book expands and revises the discussion in those articles. It is geared towards the professional econometrician or statistician. Besides reviewing the literature we also presented in the above men tioned articles a number of then new results. One example is a consis tency result for the case where the identifiable uniqueness condition fails.


Book Synopsis Dynamic Nonlinear Econometric Models by : Benedikt M. Pötscher

Download or read book Dynamic Nonlinear Econometric Models written by Benedikt M. Pötscher and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many relationships in economics, and also in other fields, are both dynamic and nonlinear. A major advance in econometrics over the last fifteen years has been the development of a theory of estimation and inference for dy namic nonlinear models. This advance was accompanied by improvements in computer technology that facilitate the practical implementation of such estimation methods. In two articles in Econometric Reviews, i.e., Pötscher and Prucha {1991a,b), we provided -an expository discussion of the basic structure of the asymptotic theory of M-estimators in dynamic nonlinear models and a review of the literature up to the beginning of this decade. Among others, the class of M-estimators contains least mean distance estimators (includ ing maximum likelihood estimators) and generalized method of moment estimators. The present book expands and revises the discussion in those articles. It is geared towards the professional econometrician or statistician. Besides reviewing the literature we also presented in the above men tioned articles a number of then new results. One example is a consis tency result for the case where the identifiable uniqueness condition fails.

Nonlinear Econometric Modeling in Time Series

Nonlinear Econometric Modeling in Time Series

Author: William A. Barnett

Publisher: Cambridge University Press

Published: 2000-05-22

Total Pages: 248

ISBN-13: 9780521594240

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This book presents some of the more recent developments in nonlinear time series, including Bayesian analysis and cointegration tests.


Book Synopsis Nonlinear Econometric Modeling in Time Series by : William A. Barnett

Download or read book Nonlinear Econometric Modeling in Time Series written by William A. Barnett and published by Cambridge University Press. This book was released on 2000-05-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents some of the more recent developments in nonlinear time series, including Bayesian analysis and cointegration tests.

Introduction to Robust and Quasi-Robust Statistical Methods

Introduction to Robust and Quasi-Robust Statistical Methods

Author: W.J.J. Rey

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 247

ISBN-13: 364269389X

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Book Synopsis Introduction to Robust and Quasi-Robust Statistical Methods by : W.J.J. Rey

Download or read book Introduction to Robust and Quasi-Robust Statistical Methods written by W.J.J. Rey and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Input-Output Modeling

Input-Output Modeling

Author: Iouri Tchijov

Publisher: Springer

Published: 2013-12-20

Total Pages: 195

ISBN-13: 3662220334

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This volume presents the results of the 6th Input-Output Meeting, organized in Warsaw, Poland, December 16-18, 1985 by IIASA and the Institute of Econometrics and Statistics, University of Lodz. The main aim of the meeting was to demonstrate the use of integrated input-output models in economic policy making, both at the national and the industrial level.


Book Synopsis Input-Output Modeling by : Iouri Tchijov

Download or read book Input-Output Modeling written by Iouri Tchijov and published by Springer. This book was released on 2013-12-20 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the results of the 6th Input-Output Meeting, organized in Warsaw, Poland, December 16-18, 1985 by IIASA and the Institute of Econometrics and Statistics, University of Lodz. The main aim of the meeting was to demonstrate the use of integrated input-output models in economic policy making, both at the national and the industrial level.

Toward Interactive and Intelligent Decision Support Systems

Toward Interactive and Intelligent Decision Support Systems

Author: Yoshikazu Sawaragi

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 467

ISBN-13: 3642466095

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In the past, technological as well as economic forces dominated the evolution of industrial structures: these factors have been treated extensively in numerous studies. However, another major factor which has begun to have a decisive influ ence on the performance of the chemical industry is technological risk and public and environmental health considerations, in particular those related to toxic and hazardous substances used in industrial production processes. The issues of con trolling process risk, waste streams, and potential environmental consequences of accidental or routine release of hazardous chemicals are rapidly gaining in impor tance vis CI vis narrow economic considerations, and are increasingly reflected in national and international legislation. In the context of several ongoing R&D projects aiming at the development of a new generation of tools for "intelligent" decision support, two related problem areas that have been identified are: (i) Structuring the industry or plant for the minimum cost of production as well as least risk - e.g., toxicity of chemicals involved. In this multi-criteria framework, we seek to resolve the conflict between industrial structure or plant design established by economic considerations and the one shaped by environmental concerns. This can be formulated as a design problem for nor mal production conditions. In section 3.1. and 3.2. an approach on how to deal with this problem at the industry and plant level is discussed.


Book Synopsis Toward Interactive and Intelligent Decision Support Systems by : Yoshikazu Sawaragi

Download or read book Toward Interactive and Intelligent Decision Support Systems written by Yoshikazu Sawaragi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past, technological as well as economic forces dominated the evolution of industrial structures: these factors have been treated extensively in numerous studies. However, another major factor which has begun to have a decisive influ ence on the performance of the chemical industry is technological risk and public and environmental health considerations, in particular those related to toxic and hazardous substances used in industrial production processes. The issues of con trolling process risk, waste streams, and potential environmental consequences of accidental or routine release of hazardous chemicals are rapidly gaining in impor tance vis CI vis narrow economic considerations, and are increasingly reflected in national and international legislation. In the context of several ongoing R&D projects aiming at the development of a new generation of tools for "intelligent" decision support, two related problem areas that have been identified are: (i) Structuring the industry or plant for the minimum cost of production as well as least risk - e.g., toxicity of chemicals involved. In this multi-criteria framework, we seek to resolve the conflict between industrial structure or plant design established by economic considerations and the one shaped by environmental concerns. This can be formulated as a design problem for nor mal production conditions. In section 3.1. and 3.2. an approach on how to deal with this problem at the industry and plant level is discussed.

Economic Evolution and Structural Adjustment

Economic Evolution and Structural Adjustment

Author: David Batten

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 389

ISBN-13: 3662025221

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Since the beginning of the fifties, the ruling paradigm in the discipline of economics has been that of a competitive general equilibrium. Associated dynamic analyses have therefore been preoccupied with the stability of this equilibrium state, corresponding simply to studies of comparative statics. The need to permeate the boundaries of this paradigm in order to open up new pathways for genuine dynamic analysis is now pressing. The contributions contained in this volume spring from this very ambition. A growing circle of economists have recently been inspired by two distinct but complementary sources: (i) the pathbreaking work of Joseph Schumpeter, and (ii) recent contributions to physics, chemistry and theoretical biology. It turns out that problems which are firmly rooted in the economic discipline, such as innovation, technological change, business cycles and economic development, contain many clear parallels with phenomena from the natural sciences such as the slaving principle, adiabatic elimination and self-organization. In such dynamic worlds, adjustment processes and adaptive behaviour are modelled with the aid of the mathematical theory of nonlinear dynamical systems. The dynamics is defined for a much wider set of conditions or states than simply a set of competitive equilibria. A common objective is to study and classify ways in which the qualitative properties of each system change as the parameters describing the system vary.


Book Synopsis Economic Evolution and Structural Adjustment by : David Batten

Download or read book Economic Evolution and Structural Adjustment written by David Batten and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the beginning of the fifties, the ruling paradigm in the discipline of economics has been that of a competitive general equilibrium. Associated dynamic analyses have therefore been preoccupied with the stability of this equilibrium state, corresponding simply to studies of comparative statics. The need to permeate the boundaries of this paradigm in order to open up new pathways for genuine dynamic analysis is now pressing. The contributions contained in this volume spring from this very ambition. A growing circle of economists have recently been inspired by two distinct but complementary sources: (i) the pathbreaking work of Joseph Schumpeter, and (ii) recent contributions to physics, chemistry and theoretical biology. It turns out that problems which are firmly rooted in the economic discipline, such as innovation, technological change, business cycles and economic development, contain many clear parallels with phenomena from the natural sciences such as the slaving principle, adiabatic elimination and self-organization. In such dynamic worlds, adjustment processes and adaptive behaviour are modelled with the aid of the mathematical theory of nonlinear dynamical systems. The dynamics is defined for a much wider set of conditions or states than simply a set of competitive equilibria. A common objective is to study and classify ways in which the qualitative properties of each system change as the parameters describing the system vary.