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On the density distribution across space: a probabilistic approach

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  • Ilenia Epifani

    ()

  • Rosella Nicolini

    ()

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.

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Bibliographic Info

Paper provided by Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC) in its series UFAE and IAE Working Papers with number 776.09.

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Length: 29
Date of creation: 22 Jul 2009
Date of revision:
Handle: RePEc:aub:autbar:776.09

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Keywords: Agglomerations; Bayesian inference; Distance; Gibbs sampling; Kendall's tau index; Population density.;

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  1. 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.
  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. Chotikapanich, Duangkamon & Prasada Rao, D.S. & Tang, KamKi, 2006. "Estimating Income Inequality in China Using Grouped Data and the Generalized Beta Distribution," Working Paper Series RP2006/134, World Institute for Development Economic Research (UNU-WIDER).
  4. McDonald, James B. & Xu, Yexiao J., 1995. "A generalization of the beta distribution with applications," Journal of Econometrics, Elsevier, vol. 69(2), pages 427-428, October.
  5. Rodney Ramcharan, 2009. "Why an economic core: domestic transport costs," Journal of Economic Geography, Oxford University Press, vol. 9(4), pages 559-581, July.
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