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Sparse spatial autoregressions

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  • Kelley Pace, R.
  • Barry, Ronald

Abstract

Given local spatial error dependence, one can construct sparse spatial weight matrices. As an illustration of the power of such sparse structures, we computed a simultaneous autoregression using 20 640 observations in under 19 min despite needing to compute a 20 640 by 20 640 determinant 10 times.

Suggested Citation

  • Kelley Pace, R. & Barry, Ronald, 1997. "Sparse spatial autoregressions," Statistics & Probability Letters, Elsevier, vol. 33(3), pages 291-297, May.
  • Handle: RePEc:eee:stapro:v:33:y:1997:i:3:p:291-297
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    References listed on IDEAS

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    1. Gilley, Otis W & Pace, R Kelley, 1995. "Improving Hedonic Estimation with an Inequality Restricted Estimator," The Review of Economics and Statistics, MIT Press, vol. 77(4), pages 609-621, November.
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    2. Alexandre Xavier Ywata Carvalho & Pedro Henrique Melo Albuquerque & Gilberto Rezende de Almeida Junior & Rafael Dantas Guimarães, 2009. "Clusterização Hierárquica Espacial," Discussion Papers 1427, Instituto de Pesquisa Econômica Aplicada - IPEA.
    3. Alexandre Xavier Ywata Carvalho & Pedro Henrique Melo Albuquerque & Gilberto Rezende de Almeida Junior & Rafael Dantas Guimarães & Camilo Rey Laureto, 2009. "Clusterização Hierárquica Espacial com Atributos Binários," Discussion Papers 1428, Instituto de Pesquisa Econômica Aplicada - IPEA.
    4. Smirnov, Oleg & Anselin, Luc, 2001. "Fast maximum likelihood estimation of very large spatial autoregressive models: a characteristic polynomial approach," Computational Statistics & Data Analysis, Elsevier, vol. 35(3), pages 301-319, January.
    5. David Brasington, 2005. "School Choice and the Flight to Private Schools: To What Extent Are Public and Private Schools Substitutes?," Departmental Working Papers 2005-02, Department of Economics, Louisiana State University.
    6. Steven Bourassa & Eva Cantoni & Martin Hoesli, 2007. "Spatial Dependence, Housing Submarkets, and House Price Prediction," The Journal of Real Estate Finance and Economics, Springer, vol. 35(2), pages 143-160, August.
    7. David Brasington & Don Haurin, 2005. "Capitalization of Parent, School, and Peer Group Components of School Quality into House Price," Departmental Working Papers 2005-04, Department of Economics, Louisiana State University.
    8. LE GALLO, Julie, 2000. "Econométrie spatiale 1 -Autocorrélation spatiale," LATEC - Document de travail - Economie (1991-2003) 2000-05, LATEC, Laboratoire d'Analyse et des Techniques EConomiques, CNRS UMR 5118, Université de Bourgogne.
    9. Lee, Lung-fei, 2007. "The method of elimination and substitution in the GMM estimation of mixed regressive, spatial autoregressive models," Journal of Econometrics, Elsevier, vol. 140(1), pages 155-189, September.
    10. Sandy Burden & Noel Cressie & David G. Steel, 2015. "The SAR Model for Very Large Datasets: A Reduced Rank Approach," Econometrics, MDPI, Open Access Journal, vol. 3(2), pages 1-22, May.
    11. Raja Chakir & Olivier Parent, 2009. "Determinants of land use changes: A spatial multinomial probit approach," Papers in Regional Science, Wiley Blackwell, vol. 88(2), pages 327-344, June.
    12. Cotteleer, Geerte & van Kooten, G. Cornelis, 2012. "Expert opinion versus actual transaction evidence in the valuation of non-market amenities," Economic Modelling, Elsevier, vol. 29(1), pages 32-40.
    13. Gertrudes Saúde Guerreiro & António Caleiro, 2003. "Explaining the Election Results in Portugal: A Spatial Econometrics Point of View," ERSA conference papers ersa03p523, European Regional Science Association.
    14. Luisa Alamá-Sabater & Laura Márquez-Ramos & Celestino Suárez-Burguet & J. Miguel Navarro-Azorín, 2012. "Interregional Trade and Transport Connectivity. An Analysis of Spatial Dependence," Working Papers 2012/20, Economics Department, Universitat Jaume I, Castellón (Spain).
    15. Jin, Fei & Lee, Lung-fei, 2012. "Approximated likelihood and root estimators for spatial interaction in spatial autoregressive models," Regional Science and Urban Economics, Elsevier, vol. 42(3), pages 446-458.
    16. Kapoor, Mudit & Kelejian, Harry H. & Prucha, Ingmar R., 2007. "Panel data models with spatially correlated error components," Journal of Econometrics, Elsevier, vol. 140(1), pages 97-130, September.
    17. Ingrid Nappi‐Choulet & Tristan‐Pierre Maury, 2011. "A Spatial And Temporal Autoregressive Local Estimation For The Paris Housing Market," Journal of Regional Science, Wiley Blackwell, vol. 51(4), pages 732-750, October.
    18. Weslem Faria & Alexandre Almeida, 2011. "Agricultural Expansion, Openness to Trade and Deforestation at the Brazilian Amazon: A Spatial Econometric Analysis," ERSA conference papers ersa11p1013, European Regional Science Association.
    19. Palmquist, Raymond B., 2006. "Property Value Models," Handbook of Environmental Economics,in: K. G. Mäler & J. R. Vincent (ed.), Handbook of Environmental Economics, edition 1, volume 2, chapter 16, pages 763-819 Elsevier.
    20. Kelejian, Harry H. & Prucha, Ingmar R., 2007. "HAC estimation in a spatial framework," Journal of Econometrics, Elsevier, vol. 140(1), pages 131-154, September.
    21. Brasington, David M. & Haurin, Donald R., 2009. "Parents, peers, or school inputs: Which components of school outcomes are capitalized into house value?," Regional Science and Urban Economics, Elsevier, vol. 39(5), pages 523-529, September.
    22. Gupta, A, 2015. "Autoregressive Spatial Spectral Estimates," Economics Discussion Papers 14458, University of Essex, Department of Economics.

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