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Spatial econometrics / Harry Kelejian, Gianfranco Piras.
- Format:
- Book
- Author/Creator:
- Kelejian, Harry H., author.
- Piras, Gianfranco, author.
- Language:
- English
- Subjects (All):
- Econometrics.
- Space in economics.
- Physical Description:
- 1 online resource (xxi, 435 pages.)
- Place of Publication:
- London, United Kingdom : Academic Press, an imprint of Elsevier, [2017]
- Contents:
- Note continued: 2.4. Maximum Likelihood Estimation of the General Model
- 2.5. An Identification Fallacy
- 2.6. Time Series Procedures Do Not Always Carry Over
- Appendix A2 Proofs for Chapter 2
- Suggested Problems
- 3. Spillover Effects in Spatial Models
- 3.1. Effects Emanating From a Given Unit
- 3.2. Emanating Effects of a Uniform Worsening of Fundamentals
- 3.3. Vulnerability of a Given Unit to Spillovers
- 4. Predictors in Spatial Models
- 4.1. Preliminaries on Expectations
- 4.2. Information Sets and Predictors of the Dependent Variable
- 4.3. Mean Squared Errors of the Predictors
- 5. Problems in Estimating Weighting Matrices
- 5.1. The Spatial Model
- 5.2. Shortcomings of Selection Based on R2
- 5.3. An Extension to Nonlinear Spatial Models
- 5.4.R2 Selection in the Multiple Panel Case
- 6. Additional Endogenous Variables: Possible Nonlinearities
- 6.1. Introductory Comments.
- Note continued: 6.2. Identification and Estimation: A Linear System
- 6.3.A Corresponding Nonlinear Model
- 6.4. Estimation in the Nonlinear Model
- 6.5. Large Sample and Related Issues
- 6.6. Generalizations and Special Points to Note
- 6.7. Applications to Spatial Models
- 6.8. Problems With MLE
- 7. Bayesian Analysis
- 7.1. Introductory Comments
- 7.2. Fundamentals of the Bayesian Approach
- 7.3. Learning and Prejudgment Issues
- 7.4.Comments on Uninformed Priors
- 7.5. Applications and Limiting Cases
- 7.6. Properties of the Multivariate t
- 7.7. Useful Sampling Procedures in Bayesian Analysis
- 7.8. The Spatial Lag Model and Gibbs Sampling
- 7.9. Bayesian Posterior Odds and Model Selection
- 7.10. Problems With the Bayesian Approach
- 8. Pretest and Sample Selection Issues in Spatial Analysis
- 8.1. Introductory Comments
- 8.2.A Preliminary Result
- 8.3. Illustrations
- 8.4. Mean Squared Errors.
- Note continued: 8.5. Pretesting in Spatial Models: Large Sample Issues
- 8.6. Final Comments on Pretesting
- 8.7.A Related Issue: Data Selection
- 8.8. Endogenous Data Selection Issues
- 8.9. Exogenous Data Selection Issues
- 9. HAC Estimation of VC Matrices
- 9.1. Introductory Comments on Heteroskedasticity
- 9.2. Spatially Correlated Errors: Illustrations
- 9.3. Assumptions and HAC Estimation
- 9.4. Kernel Functions That Satisfy Assumption 9.8
- 9.5. HAC Estimation With Multiple Distances
- 9.6. Nonparametric Error Terms and Maximum Likelihood: Serious Problems
- 10. Missing Data and Edge Issues
- 10.1. Introductory Comments
- 10.2.A Simple Model and Limits of Information
- 10.3. Incomplete Samples and External Data
- 10.4. The Spatial Error Model: IV and ML With Missing Data
- 10.5.A More General Spatial Model
- 10.6. Spatial Error Models: Be Careful What You Do
- Appendix A10 Proofs for Chapter 10.
- Note continued: Suggested Problems
- 11. Tests for Spatial Correlation
- 11.1. Introductory Comments: Occam's Razor
- 11.2. Some Preliminary Issues on a Quadratic Form
- 11.3. The Moran I Test: A Basic Model
- 11.4. An Important Independence Result
- 11.5. Application: The Moments of the Moran I
- 11.6. Generalized Moran I Tests: Qualitative Models and Spatially Lagged Dependent Variable Models
- 11.7. Lagrangian Multiplier Tests
- 11.8. The Wald Test
- 11.9. Spatial Correlation Tests: Comments and Caveats
- 12. Nonnested Models and the J-Test
- 12.1. Introductory Comments
- 12.2. The Null Model: Nonparametric Error Terms
- 12.3. The Alternative Models
- 12.4. Two Predictors
- 12.5. The Augmented Equation and the J-Test
- 12.6. The J-Test: SAR Error Terms
- 12.7.J-Test and Nonlinear Alternatives
- 13. Endogenous Weighting Matrices: Specifications and Estimation
- 13.1. Introductory Comments
- 13.2. The Model.
- Note continued: 13.3. Issues Concerning Error Term Specification
- 13.4. Further Specifications
- 13.5. The Instrument Matrix
- 13.6. Estimation and Inference
- 14. Systems of Spatial Equations
- 14.1. Introductory Comments
- 14.2. An Illustrative Two-Equations Model
- 14.3. The Model With Nonparametric Error Terms
- 14.4. Assumptions of the Model
- 14.5. Interpretation of the Assumptions
- 14.6. Estimation and Inference
- 14.7. The Model With SAR Error Terms
- 14.8. Estimation and Inference: GS3SLS
- 15. Panel Data Models
- 15.1. Introductory Comments
- 15.2. Some Important Preliminaries
- 15.3. The Random Effects Model
- 15.4.A Generalization of the Random Effects Model
- 15.5. The Fixed Effects Model
- 15.6.A Generalization of the Fixed Effects Model
- 15.7. Tests of Panel Models: The J-Test
- A. Introduction to Large Sample Theory
- A.1. An Intuitive Introduction.
- Note continued: A.2. Application of the Large Sample Result in (A.1.6)
- A.3. More Formalism: Convergence in Probability
- A.4. Khinchine's Theorem
- A.5. An Important Property of Convergence in Probability
- A.6.A Matrix Illustration of Consistency
- A.7. Generalizations of Slutsky-Type Results
- A.8.A Note on the Least Squares Model
- A.9. Convergence in Distribution
- A.10. Results on Convergence in Distribution
- A.11. Convergence in Distribution: Slutsky-Type Results
- A.12. Constructing Finite Sample Approximations
- A.13.A Result Relating to Nonlinear Functions of Estimators
- A.14. Orders in Probability
- A.15. Triangular Arrays: A Central Limit Theorem
- B. Spatial Models in R
- B.1. Introduction
- B.2. Introductory Tools
- B.3. Reading Data and Creating Weights
- B.4. Estimating Spatial Models.
- Notes:
- Includes bibliographical references (pages 417-427) and index.
- Electronic reproduction. Amsterdam Available via World Wide Web.
- Description based on print version record.
- ISBN:
- 9780128133927 (electronic bk.)
- 0128133929 (electronic bk.)
- Publisher Number:
- 90100352374
- Access Restriction:
- Restricted for use by site license.
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