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On the density distribution across space: a probabilistic approach

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Abstract

This paper aims at providing a Bayesian parametric framework to tackle the accessibility problem across space in urban theory. Adopting continuous variables in a probabilistic setting we are able to associate with the distribution density to the Kendall's tau index and replicate the general issues related to the role of proximity in a more general context. In addition, by referring to the Beta and Gamma distribution, we are able to introduce a differentiation feature in each spatial unit without incurring in any a-priori definition of territorial units. We are also providing an empirical application of our theoretical setting to study the density distribution of the population across Massachusetts.

Suggested Citation

  • Ilenia Epifani & Rosella Nicolini, 2009. "On the density distribution across space: a probabilistic approach," UFAE and IAE Working Papers 776.09, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    • Handle: RePEc:aub:autbar:776.09
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    1. Duangkamon Chotikapanich & D. S. Prasada Rao & Kam Ki Tang, 2007. "Estimating Income Inequality In China Using Grouped Data And The Generalized Beta Distribution," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 53(1), pages 127-147, March.
    2. Shunfeng Song, 1996. "Some Tests of Alternative Accessibility Measures: A Population Density Approach," Land Economics, University of Wisconsin Press, vol. 72(4), pages 474-482.
    3. Rodney Ramcharan, 2009. "Why an economic core: domestic transport costs," Journal of Economic Geography, Oxford University Press, vol. 9(4), pages 559-581, July.
    4. McDonald, James B. & Xu, Yexiao J., 1995. "A generalization of the beta distribution with applications," Journal of Econometrics, Elsevier, vol. 66(1-2), pages 133-152.
    5. Glaeser, Edward L., 2008. "Cities, Agglomeration, and Spatial Equilibrium," OUP Catalogue, Oxford University Press, number 9780199290444.
    6. Alperovich Gershon & Deutsch Joseph, 1994. "Joint Estimation of Population Density Functions and the Location of the Central Business District," Journal of Urban Economics, Elsevier, vol. 36(3), pages 239-248, November.
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    More about this item

    Keywords

    Agglomerations; Bayesian inference; Distance; Gibbs sampling; Kendall's tau index; Population density.;
    All these keywords.

    JEL classification:

    • C40 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - General
    • R14 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Land Use Patterns

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