On the density distribution across space: a probabilistic approach
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.
|Date of creation:||22 Jul 2009|
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- Rodney Ramcharan, 2009. "Why an economic core: domestic transport costs," Journal of Economic Geography, Oxford University Press, vol. 9(4), pages 559-581, July.
- Duangkamon Chotikapanich & D. S. Prasada Rao & Kam Ki Tang, 2007.
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International Association for Research in Income and Wealth, vol. 53(1), pages 127-147, 03.
- 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).
- 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.
- 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.
- 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.
- 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.
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