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Asymptotic Theory for Econometricians Book

Asymptotic Theory for Econometricians
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  • Asymptotic Theory for Econometricians
  • Written by author Halbert White
  • Published by Emerald Group Pub Ltd, October 2000
  • 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 ti
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Authors

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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