[PDF] Asymptotic Theory For Econometricians eBook

Author : Halbert White
Publisher : Academic Press
Page : 241 pages
File Size : 45,78 MB
Release : 2014-06-28
Category : Business & Economics
ISBN : 1483294420

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This book is intended to provide a somewhat more comprehensive and unified treatment of large sample theory than has been available previously and to relate the fundamental tools of asymptotic theory directly to many of the estimators of interest to econometricians. In addition, because economic data are generated in a variety of different contexts (time series, cross sections, time series--cross sections), we pay particular attention to the similarities and differences in the techniques appropriate to each of these contexts.

Author : Benedikt M. Pötscher
Publisher : Springer Science & Business Media
Page : 307 pages
File Size : 42,46 MB
Release : 2013-03-09
Category : Business & Economics
ISBN : 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.

Author : H. J. Bierens
Publisher : Springer Science & Business Media
Page : 211 pages
File Size : 46,17 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 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.

Author : Anirban DasGupta
Publisher : Springer Science & Business Media
Page : 726 pages
File Size : 21,20 MB
Release : 2008-03-07
Category : Mathematics
ISBN : 0387759700

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This unique book delivers an encyclopedic treatment of classic as well as contemporary large sample theory, dealing with both statistical problems and probabilistic issues and tools. The book is unique in its detailed coverage of fundamental topics. It is written in an extremely lucid style, with an emphasis on the conceptual discussion of the importance of a problem and the impact and relevance of the theorems. There is no other book in large sample theory that matches this book in coverage, exercises and examples, bibliography, and lucid conceptual discussion of issues and theorems.

Author : Stanislav Anatolyev
Publisher : CRC Press
Page : 230 pages
File Size : 30,83 MB
Release : 2011-06-07
Category : Business & Economics
ISBN : 1439838267

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This book covers important topics in econometrics. It discusses methods for efficient estimation in models defined by unconditional and conditional moment restrictions, inference in misspecified models, generalized empirical likelihood estimators, and alternative asymptotic approximations. The first chapter provides a general overview of established nonparametric and parametric approaches to estimation and conventional frameworks for statistical inference. The next several chapters focus on the estimation of models based on moment restrictions implied by economic theory. The final chapters cover nonconventional asymptotic tools that lead to improved finite-sample inference.

Author : James Davidson
Publisher : Oxford University Press
Page : 562 pages
File Size : 22,69 MB
Release : 1994
Category : Business & Economics
ISBN : 0198774036

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Provides a coherent account of recent contributions to limit theory, with particular emphasis on the issues of date dependence and heterogeneity. The book also provides a grounding in the requisite mathematics and probability theory.

Author : A. W. van der Vaart
Publisher : Cambridge University Press
Page : 470 pages
File Size : 36,77 MB
Release : 2000-06-19
Category : Mathematics
ISBN : 9780521784504

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This book is an introduction to the field of asymptotic statistics. The treatment is both practical and mathematically rigorous. In addition to most of the standard topics of an asymptotics course, including likelihood inference, M-estimation, the theory of asymptotic efficiency, U-statistics, and rank procedures, the book also presents recent research topics such as semiparametric models, the bootstrap, and empirical processes and their applications. The topics are organized from the central idea of approximation by limit experiments, which gives the book one of its unifying themes. This entails mainly the local approximation of the classical i.i.d. set up with smooth parameters by location experiments involving a single, normally distributed observation. Thus, even the standard subjects of asymptotic statistics are presented in a novel way. Suitable as a graduate or Master s level statistics text, this book will also give researchers an overview of the latest research in asymptotic statistics.

Author : James Davidson
Publisher : Wiley-Blackwell
Page : 528 pages
File Size : 21,67 MB
Release : 2000-04-07
Category : Business & Economics
ISBN : 9780631215844

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This book surveys recent developments in the rapidly expanding field of asymptotic distribution theory, placing special emphasis on the problems of time-dependence and heterogeneity. It is technically self-contained, with all but the most basic mathematical prerequisites being explained in their context.

Author : P. C. B. Phillips
Publisher : Cambridge University Press
Page : 390 pages
File Size : 13,73 MB
Release : 2006-01-09
Category : Business & Economics
ISBN : 9780521807234

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The essays in this book explore important theoretical and applied advances in econometrics.

Author : P.J. Dhrymes
Publisher : Springer Science & Business Media
Page : 142 pages
File Size : 27,52 MB
Release : 2013-04-18
Category : Business & Economics
ISBN : 1475716915

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This booklet was begun as an appendix to Introductory Econometrics. As it progressed, requirements of consistency and completeness of coverage seemed to make it inordinately long to serve merely as an appendix, and thus it appears as a work in its own right. Its purpose is not to give rigorous instruction in mathematics. Rather it aims at filling the gaps in the typical student's mathematical training, to the extent relevant for the study of econometrics. Thus, it contains a collection of mathematical results employed at various stages of Introductory Econometrics. More generally, however, it would be a useful adjunct and reference to students of econometrics, no matter what text is being employed. In the vast majority of cases, proofs are provided and there is a modicum of verbal discussion of certain mathematical results, the objective being to reinforce the reader's understanding of the formalities. In certain instances, however, when proofs are too cumbersome, or complex, or when they are too obvious, they are omitted.