A non-parametric spatial independence test using symbolic entropy

Regional Science and Urban Economics

Volumn 40, Issue 2-3, 2010, Pages 106-115

  López, Fernando ^a   Matilla García, Mariano ^b   Mur, Jesús ^c   Marín, Manuel Ruiz ^a  

^a TECHNICAL UNIVERSITY OF CARTAGENA   (Spain)

^b UNIVERSIDAD NACIONAL DE EDUCACIÓN A DISTANCIA   (Spain)

^c UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

C4; Entropy; Non parametric test; Spatial dependence; Symbolic dynamics

Indexed keywords

MONTE CARLO ANALYSIS; SPATIAL ANALYSIS; STATISTICAL DISTRIBUTION; VARIANCE ANALYSIS;

EID: 77951939007     PISSN: 01660462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.regsciurbeco.2009.11.003     Document Type: Article

References (64)

1. Anselin L. Spatial Econometrics. Methods and Models 1988, Kluwer, Dordrecht.
2. Anselin L. Rao's score test in spatial econometrics. Journal of Statistical Planning Inference 2001, 97:113-139.
3. Anselin L., Bera A. Spatial dependence in linear regression models with an introduction to spatial econometrics. Handbook of Applied Economic Statistics 1998, 237-289. Marcel Dekker, New York. A. Ullah, D. Giles (Eds.).
4. Anselin L., Florax R. Small sample properties of tests for spatial dependence in regression models some further results. New Directions in Spatial Econometrics 1995, 21-74. Springer, Berlin. L. Anselin, R. Florax (Eds.).
5. Anselin L., Kelejian H. Testing for spatial error autocorrelation in the presence of endogenous regressors. International Regional Science Review 1997, 20:153-182.
6. Anselin L., Moreno R. Properties of tests for spatial error components. Regional Science and Urban Economics 2003, 33:595-618.
7. Anselin L., Rey S. Properties of tests for spatial dependence in linear regression models. Geographical Analysis 1991, 23:112-131.
8. Anselin L., Bera A., Florax R., Yoon M. Simple diagnostic tests for spatial dependence. Regional science and urban economics 1996, 26:77-104.
9. Arbia G. Spatial Data Configuration in Statistical Analysis of Regional Economics and Related Problems 1989, Kluwer Academic Publishers, Dordrecht.
10. Arbia G. Spatial Econometrics. Statistical Foundations and Applications to Regional Convergence 2006, Springer, Berlin.
11. Baltagi B., Song S., Koh W. Testing panel data regression models with spatial error correlation. Journal of Econometrics 2003, 117:123-150.
12. Barbour A.D., Holst L., Janson S. Poisson Approximation. Oxford Studies in Probability 2 1992, Clarendon Press, Oxford.
13. Bavaud F. Models for spatial weights a systematic approach. Geographical Analysis 1997, 30:1653-1671.
14. Bera, A., Simlai, P., 2004. Testing Spatial Autoregressive Model and a Formulation of Spatial ARCH SARCH Model with Applications. Manuscript Department of Economics, University of Illinois.
15. Brett C., Pinkse J. Those taxes are all over the map! A test for spatial independence of municipal tax rates in British Columbia. International Regional Science Review 1997, 20:131-151.
16. Brock W., Hsieh D., LeBaron B. Nonlinear Dynamics, Chaos and Instability Statistical Theory and Evidence 1991, MIT Press, Cambridge.
17. Brock W., Dechert D., Scheinkman J., LeBaron B. A test for independence based on the correlation dimension. Econometric Review 1996, 15:197-235.
18. Burridge P. On the Cliff-Ord test for spatial autocorrelation. Journal of the Royal Statistical Society B 1980, 42:107-108.
19. Cliff A., Ord K. Spatial Processes. Models and Applications 1981, Pion, London.
20. Conley T. GMM estimation with cross sectional dependence. Journal of Econometrics 1999, 92:1-45.
21. Dacey M. A review of measures of contiguity for two and k-color maps. A Reader in Statistical Geography 1965, 479-495. Prentice-Hall, Englewood Cliffs. B. Berry, D. Marble (Eds.).
22. de Graaff T., Florax R., Nijkamp P. A general misspecification tests for spatial regression models dependence, heterogeneity and nonlinearity. Journal of Regional Science 2001, 41:225-276.
23. Ehm W. Binomial approximation to the Poisson binomial distribution. Statistics and Probability Letters 1991, 11:7-16.
24. Fingleton B. A generalized method of moment estimator for a spatial panel model with an endogenous spatial lag and spatial moving aberage errors. Spatial Economic Analysis 2008, 3:27-44.
25. Florax R., de Graaff T. The performance of diagnostics tests for spatial dependence in linear regression models a meta-analysis of simulation studies. Advances in Spatial Econometrics Methodology, Tools and Applications 2004, 29-65. Springer, Berlin. L. Anselin, R. Florax, S. Rey (Eds.).
26. Florax R., Rey S. The impacts of misspecified spatial interaction in linear regression models. New Directions in Spatial Econometrics 1995, 111-135. Springer, Berlin. L. Anselin, R. Florax (Eds.).
27. Florax R., Folmer H., Rey S. Specification searches in spatial econometrics the relevance of Hendry's methodology. Regional Science and Urban Economics 2003, 33:557-579.
28. Geary R. The contiguity ratio and statistical mapping. The Incorporated Statistician 1954, 5:115-145.
29. Getis A. Reflections on spatial autocorreclation. Regional Science and Urban Economics 2007, 37:491-496.
30. Gould P. Is Statistix Inferens the geographical name for a wild goose?. Economic Geography 1970, 46:439-448.
31. Grassberger P., Procaccia P. Measuring the strangeness of strange attactors. Physica D 1983, 9:189-208.
32. Griffith D. Some guideliness for specifying the geographic weight matrix contained in spatial statistical models. Practical Handbook of Spatial Statistics 1996, 65-82. CRC, Boca Raton. S. Arlinghaus (Ed.).
33. Haining R. Spatial Data Analysis Theory and Practice 2003, Cambridge University Press, Cambridge.
34. Hong Y., White H. Asymptotic distribution theory for nonparametric entropy measures of serial dependence. Econometrica 2005, 73:837-901.
35. Joe H. Relative entropy measures of multivariate dependence. Journal of the American Statistical Association 1989, 84:157-164.
36. Joe H. Estimation of entropy and other functionals of a multivariate density. Annals of the Institute of Statistical Mathematics 1989, 41:683-697.
37. Kelejian H., Prucha I. A generalized moments estimator for the autoregressive parameter in a spatial model. International Economic Review 1999, 40:509-533.
38. Kelejian H., Prucha I. On the asymptotic distribution of the Moran I test statistic with applications. Journal of Econometrics 2001, 104:219-257.
39. Kelejian H., Prucha I. Estimation of systems of spatially interrelated cross sectional equations. Journal of Econometrics 2004, 118:27-50.
40. Kelejian H., Prucha I. HAC estimation in a spatial framework. Journal of Econometrics 2007, 140:131-154.
41. Kelejian H., Robinson D. Spatial autocorrelation a new computationally simple test with an application to per capita country police expenditures. Regional Science and Urban Economics 1992, 22:317-333.
42. Kelejian H., Robinson P. A suggested method of estimation for spatial interdependent models with autocorrelated errors, and an application to a county expenditure model. Papers in Regional Science 1993, 72:297-312.
43. Kelejian H., Robinson D. Spatial correlation a suggested alternative to the autoregressive model. New Directions in Spatial Econometrics 1995, 75-95. Springer-Verlag, Berlin. L. Anselin, R. Florax (Eds.).
44. King M. A small sample property of Cliff-Ord test for spatial correlation. Journal of the Royal Statistical Society B 1981, 43:263-264.
45. King M. A point optimal test for autoregressive disturbances. Journal of Econometrics 1985, 27:21-37.
46. Knox E. The detection of space-time interactions. Applied Statistics 1964, 13:25-29.
47. Lehmann E.L. Testing Statistical hypothesis 1986, John Wiley & Sons, New York.
48. Leung Y., Mei C., Zhang W. Statistical tests for local patterns of spatial association. Environment and Planning A 2003, 35:725-744.
49. Matilla-García M., Ruiz Marín M. A non-parametric independence test using permutation entropy. Journal of Econometrics 2008, 144:139-155.
50. Moran P. Notes on continuous stochastic phenomena. Biometrika 1950, 37:17-23.
51. Nijkamp P., Capello R. Urban Dynamics and Growth 2005, Elsevier, Amsterdam.
52. Nijkamp P., Reggiani A. Spatial Dynamics, Networks and Modelling 2006, Edward Elgar, Cheltenham.
53. Paelinck J., Klaassen L. Spatial Econometrics 1979, Saxon House, Farnborough.
54. Pinkse J. A consistent nonparametric test for serial dependence. Journal of Econometrics 1998, 84:205-231.
55. Pinkse J. Moran-flavoured tests with nuisance parameters examples. New Advances in Spatial Econometrics 2004, 67-77. Springer, New York. L. Anselin, R. Florax, S. Rey (Eds.).
56. Pinkse J.M., Pinkse J., Slade M., Brett C. Spatial price competition a semiparametric approach. Econometrica 2002, 70:1111-1153.
57. Rohatgi V.K. An Introduction to Probability Theory and Mathematical Statistics 1976, John Wiley & Sons, New York.
58. Saavedra L. Tests for spatial lag dependence based on method of moments estimation. Regional Science and Urban Economics 2003, 33:27-58.
59. Sen A. Large sample-size distribution of statistics used in testing for spatial correlation. Geographical Analysis 1976, 8:175-184.
60. Soon S.Y.T. Binomial approximation for dependent indicators. Statistical Sinica 1996, 6:703-714.
61. Stein C.M. Approximate Computation of Expectations 1986, IMS, Hayward, CA.
62. Tiefelsdorf M. Modelling spatial processes. The Identification and Analysis of Spatial Relationships in Regression Residuals by Means of Moran's I 2000, Springer, Berlin.
63. Tiefelsdorf M., Boots B. The exact distribution of Moran's I. Environment and Planning A 1995, 27:985-999.
64. Tobler W. A computer movie simulating urban growth in the Detroit region. Economic Geography 1970, 46:234-240.