0127466525,Asymptotic Theory for Econometricians REVISED,Asymptotic,Theory,for,Econometricians,REVISED,buy,book,books,purchase,read,Halbert White
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"A prose writer gets tired of writing prose, and wants to be a poet. So he begins every line with a capital letter, and keeps on writing prose."

  Samuel McChord Crothers

 

 

Asymptotic Theory for Econometricians REVISED

 
  by Halbert White
 
 
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 Product Details

  Format: Textbook Hardcover, 2nd ed., 2
  Edition: REVISED
  Publisher: Academic Press, Incorporated
  ISBN: 0127466525
  Release Date: Jan 6, 1996


 
 
Cover to Cover
 In Brief
The amount of financial data created every day by world stock markets, world governments, financial institutions, and other sources, is increasing at an enormous rate. Economists and financial analysts need tools to manage these large sets of data in a timely and accurate way. Classical linear models of economics have failed to deal with such large amounts of data, and asymptotic theory is the tool that economists have come to rely on for this type of data management.

Large sample theory and the fundamental tools of asymptotic theory converge in this thoroughly revised edition of Asymptotic Theory for Econometricians. New material on functional central limit theory and its applications, material on cointegration, and many small points make this Revised Edition a comprehensive and unified treatment of large sample theory. The scope of the book remains the same as that of the First Edition, with sufficient material to fill a full year's course work. This edition also contains updated material on asymptotically efficient instrumental variables estimation, efficient estimation with estimated error covariance matrices, and efficient IV estimation. Exercise solutions have also been updated and expanded.

Asymptotic Theory for Econometricians is intended both as a reference for practicing econometricians and financial analysts and as a textbook for graduate students taking courses in econometrics beyond the introductory level. It assumes that the reader is familiar with the basic concepts of probability and statistics as well as with calculus and linear algebra, and that the reader also has a good understanding of the classical linear model.
CONTENTS:

The Linear Model and Instrumental Variables Estimators

Consistency

Laws of Large Numbers

Asymptotic Normality

Central Limit Theory

Estimating Asymptotic Covariance Matrices

Functional Central Limit Theory and Applications

Directions for Further Study

Solution Set

References

Index


 
 
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Table of Contents
 
Preface to the First Editionix
Preface to the Revised Editionxi
Referencesxiii
1The Linear Model and Instrumental Variables Estimators1
References12
For Further Reading12
2Consistency15
2.1Limits15
2.2Almost Sure Convergence18
2.3Convergence in Probability24
2.4Convergence in rth Mean28
References30
3Laws of Large Numbers31
3.1Independent Identically Distributed Observations32
3.2Independent Heterogeneously Distributed Observations35
3.3Dependent Identically Distributed Observations39
3.4Dependent Heterogeneously Distributed Observations46
3.5Martingale Difference Sequences53
References62
4Asymptotic Normality65
4.1Convergence in Distribution65
4.2Hypothesis Testing74
4.3Asymptotic Efficiency83
References111
5Central Limit Theory113
5.1Independent Identically Distributed Observations114
5.2Independent Heterogeneously Distributed Observations117
5.3Dependent Identically Distributed Observations122
5.4Dependent Heterogeneously Distributed Observations130
5.5Martingale Difference Sequences133
References136
6Estimating Asymptotic Covariance Matrices137
6.1General Structure of V[subscript n]137
6.2Case 1: {Z[subscript t varepsilon subscript t]} Uncorrelated139
6.3Case 2: {Z[subscript t varepsilon subscript t]} Finitely Correlated147
6.4Case 3: {Z[subscript t varepsilon subscript t]} Asymptotically Uncorrelated154
References164
7Functional Central Limit Theory and Applications167
7.1Random Walks and Wiener Processes167
7.2Weak Convergence171
7.3Functional Central Limit Theorems175
7.4Regression with a Unit Root178
7.5Spurious Regression and Multivariate FCLTs184
7.6Cointegration and Stochastic Integrals190
References204
8Directions for Further Study207
8.1Extending the Data Generating Process207
8.2Nonlinear Models209
8.3Other Estimation Techniques209
8.4Model Misspecification211
References211
Solution Set213
References259
Index261


 
 
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 Keywords
Asymptotic theory, Econometrics, Econometrics, Asymptotic theory, Business / Economics / Finance, Business & Economics, Economics - Theory, Economics - General

 
 
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Inverse Black Hole
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