Statistical Inference in Random Coefficient Regression Models
In: Lecture Notes in Operations Research and Mathematical Systems, Economics, Computer Science, Information and Control 55
In: Lecture Notes in Economics and Mathematical Systems 55
I -- Introduction -- 1.1 Purpose and Outline of the Study -- 1.2 Review of the Literature on Regression Models with Random and Fixed Coefficients -- 1.3 Conclusions -- II -- Efficient Methods of Estimating a Regression Equation with Equicorrelated Disturbances -- 2.1 Introduction -- 2.2 Some Useful Lemmas -- 2.3 A Regression Model with Equicorrelated Disturbances -- 2.4 Analysis of Time Series of Cross-Sections -- 2.5 Estimation When the Variance-Covariance Matrix of Disturbances is Singular -- 2.6 Estimation When the Remaining Effects are Heteroskedastic -- 2.7 Conclusions -- III -- Efficient Methods of Estimating the Error Components Regression Models -- 3.1 Introduction -- 3.2 Some Matrix Results -- 3.3 Covariance Estimators -- 3.4 Estimation of Error Components Models -- 3.5 A Class of Asymptotically Efficient Estimators -- 3.6 Small Sample Properties of the Pooled Estimator -- 3.7 A Comparison of the Efficiencies of Pooled and OLS Estimators -- 3.8 A Comparison of the Efficiency of Pooled Estimator with Those of its Components -- 3.9 Alternative Estimators of Slope Coefficients and the Regression on Lagged Values of the Dependent Variables -- 3.10 Analysis of an Error Components Model Under Alternative Assumptions -- 3.11 Maximum Likelihood Method of Estimating Error Components Model -- 3.12 Departures from the Basic Assumptions Underlying the Error Components Model -- 3.13 Conclusions -- IV -- Statistical Inference in Random Coefficient Regression Models Using Panel Data -- 4.1 Introduction -- 4.2 Setting the Problem -- 4.3 Efficient Methods of Estimating the Parameters of RCR Models -- 4.4 Estimation of Parameters in RCR Models when Disturbances are Serially Correlated -- 4.5 Problems Associated with the Estimation of RCR Models Using Aggregate Data -- 4.6 Forecasting with RCR Models -- 4.7 Relaxation of Assumptions Underlying RCR Models -- 4.8 Similarities Between RCR and Bayesian Assumptions -- 4.9 Empirical CES Production Function Free of Management Bias -- 4.10 Analysis of Mixed Models -- 4.11 Conclusions -- V -- A Random Coefficient Investment Model -- 5.1 Introduction -- 5.2 Grunfeld's Hypothesis of Micro Investment Behavior -- 5.3 Estimation and Testing of Random Coefficient Investment Model -- 5.4 Aggregate Investment Function -- 5.5 Comparison of Random Coefficient Model with Fixed Coefficient Macro Model -- 5.6 Comparison of Random Coefficient Model with Fixed Coefficient Micro Model -- 5.7 Conclusions -- VI -- Aggregate Consumption Function with Coefficients Random Across Countries -- 6.1 Introduction -- 6.2 Aggregate Consumption Model -- 6.3 Source and Nature of Data -- 6.4 Fixed Coefficient Approach -- 6.5 Random Coefficient Approach -- 6.6 Conclusions -- VII -- Miscellaneous Topics -- 7.1 Introduction -- 7.2 Identification -- 7.3 Incorporation of Prior Information in the Estimation of RCR Models -- 7.4 Conclusions.