References¶
- BB03
Frank Bickenbach and Eckhardt Bode. Evaluating the Markov property in studies of economic convergence. International Regional Science Review, 26(3):363–392, 2003. URL: https://doi.org/10.1177/0160017603253789, doi:10.1177/0160017603253789.
- Bie11
Torsten Biemann. A transition-oriented approach to optimal matching. Sociological Methodology, 41(1):195–221, 2011. URL: https://doi.org/10.1111/j.1467-9531.2011.01235.x, doi:10.1111/j.1467-9531.2011.01235.x.
- Chr05
David Christensen. Fast algorithms for the calculation of kendall’s τ. Computational Statistics, 20(1):51–62, Mar 2005. URL: https://doi.org/10.1007/BF02736122”, doi:10.1007/BF02736122.
- FSZ04
John P. Formby, W. James Smith, and Buhong Zheng. Mobility measurement, transition matrices and statistical inference. Journal of Econometrics, 120(1):181–205, 2004. URL: http://www.sciencedirect.com/science/article/pii/S0304407603002112, doi:https://doi.org/10.1016/S0304-4076(03)00211-2.
- Ibe09
Oliver Ibe. Markov processes for stochastic modeling. Elsevier Academic Press, Amsterdam, 2009.
- KR18
Wei Kang and Sergio J. Rey. Conditional and joint tests for spatial effects in discrete markov chain models of regional income distribution dynamics. The Annals of Regional Science, 61(1):73–93, Jul 2018. URL: https://doi.org/10.1007/s00168-017-0859-9, doi:10.1007/s00168-017-0859-9.
- KS67
John G. Kemeny and James Laurie Snell. Finite markov chains. Van Nostrand, 1967.
- KKK62
S. Kullback, M. Kupperman, and H. H. Ku. Tests for contingency tables and Markov chains. Technometrics, 4(4):573–608, 1962. URL: http://www.jstor.org/stable/1266291, doi:10.2307/1266291.
- PTVF07
William H Press, Saul A Teukolsky, William T Vetterling, and Brian P Flannery. Numerical recipes: the art of scientific computing. Cambridge Univ Pr, Cambridge, 3rd edition, 2007.
- Rey01
Sergio J. Rey. Spatial empirics for economic growth and convergence. Geographical Analysis, 33(3):195–214, 2001. URL: https://onlinelibrary.wiley.com/doi/abs/10.1111/j.1538-4632.2001.tb00444.x, doi:10.1111/j.1538-4632.2001.tb00444.x.
- Rey04
Sergio J. Rey. Spatial dependence in the evolution of regional income distributions. In A. Getis, J. Múr, and H. Zoeller, editors, Spatial econometrics and spatial statistics, pages 193–213. Palgrave, Hampshire, 2004.
- Rey14a
Sergio J. Rey. Fast algorithms for a space-time concordance measure. Computational Statistics, 29(3-4):799–811, 2014. URL: https://doi.org/10.1007/s00180-013-0461-2, doi:10.1007/s00180-013-0461-2.
- Rey14b
Sergio J. Rey. Rank-based Markov chains for regional income distribution dynamics. Journal of Geographical Systems, 16(2):115–137, 2014.
- Rey16
Sergio J. Rey. Space–time patterns of rank concordance: local indicators of mobility association with application to spatial income inequality dynamics. Annals of the American Association of Geographers, 106(4):788–803, 2016. URL: https://doi.org/10.1080/24694452.2016.1151336, doi:10.1080/24694452.2016.1151336.
- RKW16
Sergio J. Rey, Wei Kang, and Levi Wolf. The properties of tests for spatial effects in discrete Markov chain models of regional income distribution dynamics. Journal of Geographical Systems, 18(4):377–398, 2016. URL: http://dx.doi.org/10.1007/s10109-016-0234-x, doi:10.1007/s10109-016-0234-x.
- RMA11
Sergio J. Rey, Alan T. Murray, and Luc Anselin. Visualizing regional income distribution dynamics. Letters in Spatial and Resource Sciences, 4(1):81–90, 2011. URL: https://doi.org/10.1007/s12076-010-0048-2, doi:10.1007/s12076-010-0048-2.