- Anderson T. W. (1994), The Statistical Analysis of Time Series, John Wiley and Sons.
Paper not yet in RePEc: Add citation now
- Anselin L. (1988), Spatial Econometrics: Methods and Models, Kluwer Academic Publishers. Anselin L. and R. J. G. M. Florax eds (199S), New Directions in Spatial Econometrics, Springer.
Paper not yet in RePEc: Add citation now
- Anselin L. and Griffith D. A. (1988), Do Spatial Effects Really Matter in Regression Analysis?, Papers of the Regional Science Association, 6S, 11-34.
Paper not yet in RePEc: Add citation now
- Arbia G., D. A. Griffith and R. Haining (1998), Error Propagation modelling in raster GIS: Overlay operations, Internat. J. Geographical Informational Sci., Vol. 12, 14S-167.
Paper not yet in RePEc: Add citation now
Baltagi B., S. H. Song, and W. Koh (2003), Testing Panel Data Regression Models with Spatial Error Correlation, Journal of Econometrics, Vol. 117, Issue 1, 123-iSO. Bartlett M. 5. (19S0), Periodogram Analysis and Continuous Spectra, Biometrika, Vol. 37, 1-16. Bartlett M. 5. (19SS), An Introduction to Stochastic Processes. Cambridge University Press, Cambridge.
Bell K. P. and N. E. Bockstael (2000), Applying the Generalized Moments Estimation Approach to Spatial Problems Involving Micro Level Data, Review of Economics and Statistics, Vol. 82, 72-82.
Bollinger C. and K. Ihlanfeldt (1997), The Impact of Rapid Rail Transit on Economic Development: The Case of Atlantas Marta, Journal of Urban Economics, Vol. 42, 179-204.
- Bolthausen E. (1982), On the Central Limit Theorem for Stationary Mixing Random Fields, The Annals of Probability, Vol. 10, 1047-1OSO.
Paper not yet in RePEc: Add citation now
- Bookstein F. L. (1986), Size and Shape Spaces for Landmark Data in Two Dimensions, Statistical Science, Vol. 1, 191-222.
Paper not yet in RePEc: Add citation now
- Bronnenberg B., J. P. Dube, S. Dhar (2003), Analyzing the Spatial Distribution of Market Shares and Prices across Geographic Markets Manuscript University of Chicago GSB.
Paper not yet in RePEc: Add citation now
Case A. (1991), Spatial Patterns in Household Demand, Econometrica, Vol. S9, No. 4., 9S3-96S.
Case A., Rosen H. S., and Hines J. R. (1993), Budget Spillovers and Fiscal Policy Interdependence: Evidence from the States, Journal of Public Economics, Vol. S2, No. 3, 28S-307.
Conley T. G. (199S), Econometric Modelling of Cross-Sectional Dependence, Ph. D. thesis, University of Chicago. 2S Conley T. G. (1999), GMM Estimation with Cross Sectional Dependence, Journal of Econometrics, Vol. 92, 1-45.
Conley T. G. and E. A. Ligon (2002), Economic Distance, Spillovers, and Cross Country Comparisons, Journal of Economic Growth, Vol. 7, 157-187.
- Conley T. G. and G. Topa (2002), Socio-economic Distance and Spatial Patterns in Unemployment, Journal of Applied Econometrics, Vol 17, Issue 4, 303-327.
Paper not yet in RePEc: Add citation now
Conley T. G., F. Flyer and G. Tsiang (2003), Spillovers from Local Market Human Capital and the Spatial Distribution of Productivity in Malaysia, Advances in Economic Analysis ~1 Policy, Vol. 3, No. 1, Article 5. http://www.bepress.com/bejeap/advances/vol3/iss1/art5.
Conley T. G., Hansen L. P., and W. F. Liu (1997), Bootstrapping the Long Run, Macroeconomic Dynamics, Vol. 1, 279-311.
Conley, T. G. and B. Dupor (2003), A Spatial Analysis of Sectoral Complementarity, Journal of Political Economy, Vol. 111 No. 2, 311-352.
- Consider first the MLE estimator. The goal is to show that ~ (VMLE - V) ~* 0; then the desired result will follow from (8). As shown in Lemma 2, our model with p = 0.3 and p = 0.45 satisfies the conditions of Theorem 3 of Mardia and Marshall (1984). Hence ~ (~MLE - o) ~ (0, H), where H is the variance-covariance matrix of 0. Since VMLE is given by the product of &MLE and a polynomial in PMLE, the desired result follows.
Paper not yet in RePEc: Add citation now
- Cressie N. (1993), Statistics for Spatial Data, Wiley.
Paper not yet in RePEc: Add citation now
- Cressie N. and J. Kornak (2003), Spatial Statistics in the Presence of Location Error with an Application to Remote Sensing of the Environment, Statistical Science, Vol. 18, No. 4, 436-456.
Paper not yet in RePEc: Add citation now
- Cressie N. and S. Lahiri (1996), Asymptotics for REML Estimation of Spatial Covariance Parameters, Journal of Statistical Planning and Inference, Vol. 50, 327-342.
Paper not yet in RePEc: Add citation now
- Elliott G.(1993), Spatial Correlations and Cross-Country Regressions, Manuscript, Harvard University.
Paper not yet in RePEc: Add citation now
- Gabrosek J. and N. Cressie (2002), The Effect on Attribute Prediction of Location Uncertainty in Spatial Data, Geographical Analysis, Vol. 34, 262-285.
Paper not yet in RePEc: Add citation now
- Goldie C. M. and G. J. Morrow (1986), Central Limit Questions for Random Fields, in Dependence in Probability and Statistics, E. Eberlein and M. S. Taqqu eds. Birkhauser Boston, 275-289.
Paper not yet in RePEc: Add citation now
- Goldie C. M. and P. E. Greenwood (1986), Characterizations of Set-Indexed Brownian Motion and Associated Conditions for Finite-Dimensional Convergence, The Annals of Probability, Vol. 11, No. 3, 802-816.
Paper not yet in RePEc: Add citation now
- Greenstone M. and 0. Deschenes (2003), Using Fluctuations in Climate to Estimate the Economic Impacts of Global Warming, University of Chicago Working Paper.
Paper not yet in RePEc: Add citation now
- Grenander U. and Rosenblatt M. (1957), Some Problems in Estimating the Spectrum of a Time Series, Proc. 3rd Berkeley Symp. on Statist. and Prob., University of California Press, Berkeley.
Paper not yet in RePEc: Add citation now
- Griffith D. A. and F. Lagona (1998), On the Quality of Likelihood Based Estimators in Spatial Autoregressive Models when the Data Dependence Structure is Misspecifled, Journal of Statistical Planning and Inference, Vol. 69, 153-174.
Paper not yet in RePEc: Add citation now
- Guyon X. (1982), Parameter Estimation for a Stationary Process on a d- Dimensional Lattice, Biometrika, Vol. 69, 95-105.
Paper not yet in RePEc: Add citation now
- Hall P. and P. Patil (1994), Properties of Nonparametric Estimators of Autocovariance for Stationary Random Fields, Probability Theory and Related Fields, Vol. 99, No. 3, 399-424.
Paper not yet in RePEc: Add citation now
- Hall P., N. I. Fisher, and B. Hoffmann (1994), On the Nonparametric Estimation of Covariance Functions, Annals of Statistics, Vol. 22, No. 4., 2115-2134.
Paper not yet in RePEc: Add citation now
Heijmans R. and J. Magnus (1986), Consistent Maximum Likelihood Estimation with Dependent Observations. The General (Nonnormal) Case and the Normal Case, Journal of Econometrics, Vol. 32, 253-285.
- Kelejian H. H, and I. R. Prucha (2003), HAC Estimation in a Spatial Framework, University of Maryland Working Paper.
Paper not yet in RePEc: Add citation now
Kelejian H. H. and D. Robinson (1992), Spatial Autocorrelation: A New Computationally Simple Test with an Application to Per Capita Police Expenditures, Regional Science and Urban Economics, Vol. 22, 317-331.
Kelejian H. H. and I. R. Prucha (1999), A Generalized Moments Estimator for the Autoregressive Parameter in a Spatial Model, International Economic Review, Vol. 40, 509-533.
Kelejian H. H. and I. R. Prucha (2001), On the Asymptotic Distribution of the Moran I Test Statistic with Applications, Journal of Econometrics, Vol. 104, 219-257.
- Kent J. T. and K. V. Mardia (1996), Spectral and Circulant Approximations to the Likelihood for Stationary Gaussian Random Fields, Journal of Statistical Planning and Inference, Vol. 50, 379-394.
Paper not yet in RePEc: Add citation now
Kim C. W., T. T. Phipps and L. Anselin (2003), Measuring the Benefits of Air Quality Improvement: A Spatial Hedonic Approach, Journal of Environmental Economics and Management, Vol. 45, Issue 1, 24-39.
- Lee L. F. (2001a), Asymptotic Distributions of Quasi-Maximum Likelihood Estimators for Spatial Econometric Models I: Spatial Autoregressive Processes, Ohio State Department of Economics Working Paper.
Paper not yet in RePEc: Add citation now
- Lee L. F. (2001b), Asymptotic Distributions of Quasi-Maximum Likelihood Estimators for Spatial Econometric Models II: Mixed Regressive, Spatial Autoregressive Models Ohio State Department of Economics Working Paper.
Paper not yet in RePEc: Add citation now
Lee L. F. (2004), Asymptotic Distributions of Quasi-Maximum Likelihood Estimators for Spatial Autoregressive Models, Econometrica, Vol. 72, No. 6, 1899-1925.
- Manuszak M. (2001), The Impact of Upstream Mergers on Retail Gasoline Markets Working Paper, Carnegie Mellon GSIA.
Paper not yet in RePEc: Add citation now
- Mardia K. V. and R. J. Marshall (1984), Maximum Likelihood Estimation of Models for Residual Covariance in Spatial Regression, Biometrika Vol. 71, No. 1, 135-146.
Paper not yet in RePEc: Add citation now
- Moran P. (1950), Notes on Continuous Stochastic Phenomena, Biometrika, Vol. 37, 17-23.
Paper not yet in RePEc: Add citation now
Moreno R. and B. Trehan (1997), Location and the Growth of Nations, Journal of Economic Growth, Vol. 2, No. 4, 399-418.
Moulton B. R. (1990), An Illustration of Pitfall in Estimating the Effects of Aggregate Variables on Micro Units, The Review of Economics and Statistics, Vol. 72, 334-338.
- Oehlert G. (1993), Regional Trends in Sulfate Wet Deposition, Journal of the American Statistical Association, Vol. 88, No. 422, 390-399.
Paper not yet in RePEc: Add citation now
- Ord K. (1975), Estimation Methods for Models of Spatial Interaction, Journal of the American Statistical Association, Vol. 70, No. 349, 120-26.
Paper not yet in RePEc: Add citation now
Pinkse J. (1999), Moran-Flavoured Tests with Nuisance Parameters: Examples, forthcoming in New Advances in Spatial Econometrics, L. Anselin and R. J. G. M. Florax eds. (Springer, New York) Pinkse J., M. Slade, and C. Brett C. (2002), Spatial Price Competition: a Semiparametric Approach, Econometrica, Vol. 70, No. 3, 1111-1153.
- Politis N. D. and J. P. Romano (1996), On Flat-Top Kernel Spectral Density Estimators for Homogeneous Random Fields, Journal of Statistical Planning and Inference, Vol. 51, 41-53.
Paper not yet in RePEc: Add citation now
- Priestley M. B. (1981), Spectral Analysis and Time Series Vols. I and II, Academic Press, New York.
Paper not yet in RePEc: Add citation now
- Priestly M. B. (1962), Analysis of Two-Dimensional Processes with Discontinuous Spectra, Technical Report No. 6, Department of Statistics, Stanford University.
Paper not yet in RePEc: Add citation now
Pulvino T. (1998), Do Asset Fire Sales Exist. An Empirical Investigation of Commercial Aircraft Transactions, Journal of Finance, Vol. 53, No. 3, 939-978.
Rappaport J. and Sachs J. D. (2003), The United States as a Coastal Nation, Journal of Economic Growth, Vol. 8, No. 1, 5-46.
Robinson P. M. and J Vidal Sanz (2003), Modified Whittle Estimation of Multilateral Spatial Models, CeMMAP Working paper #CWP18O3.
- Rosenblatt M. (1985), Stationary Sequences and Random Fields, Birkhäuser Boston, Inc.
Paper not yet in RePEc: Add citation now
- Takahata H. (1983), On the Rates in the Central Limit Theorem for Weakly Dependent Random Fields Z. Wahrscheinlichkeitstheorie verw. Gebiete, Vol. 64, 445-456.
Paper not yet in RePEc: Add citation now
- The result for locations on the line follows trivially from the results of Anderson (1994), Theorem 9.4.1 and Corollary 9.4.1. Here we prove the result for locations on the plane.
Paper not yet in RePEc: Add citation now
Topa G. (2001), Social Interactions, Local Spillovers and Unemployment, Review of Economic Studies, Vol. 68, No. 2, 261-95.
Vigfusson R.J. (2003), How Does the Border Effect Productivity? Evidence from American and Canadian Manufacturing Industries Working Paper. Federal Reserve Board of Governors.
White H. and I. Domowitz (1984), Nonlinear Regression with Dependent Observations, Econometrica, Vol. 52, 143-161.
- Whittle, P. (1954), On Stationary Processes on the Plane, Biometrika, Vol. 2 No. 3/4, 434-449.
Paper not yet in RePEc: Add citation now
- Zhao Y. and M. Wall (2004), Investigating the Use of the Variogram for Lattice Data, Journal of Computational and Graphical Statistics, Vol. 13, No. 3, 719-738.
Paper not yet in RePEc: Add citation now