IDEAS home Printed from https://ideas.repec.org/p/bge/wpaper/388.html
   My bibliography  Save this paper

On the density distribution across space: a probabilistic approach

Author

Listed:
  • 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.

Suggested Citation

  • Ilenia Epifani & Rosella Nicolini, 2009. "On the density distribution across space: a probabilistic approach," Working Papers 388, Barcelona School of Economics.
    • Handle: RePEc:bge:wpaper:388
    as

    Download full text from publisher

    File URL: http://www.barcelonagse.eu/sites/default/files/working_paper_pdfs/388.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Vanesa Jorda & José María Sarabia & Markus Jäntti, 2020. "Estimation of Income Inequality from Grouped Data," LIS Working papers 804, LIS Cross-National Data Center in Luxembourg.
    2. Ilenia Epifani & Rosella Nicolini, 2013. "On The Population Density Distribution Across Space: A Probabilistic Approach," Journal of Regional Science, Wiley Blackwell, vol. 53(3), pages 481-510, August.
    3. Vladimir Hlasny, 2021. "Parametric representation of the top of income distributions: Options, historical evidence, and model selection," Journal of Economic Surveys, Wiley Blackwell, vol. 35(4), pages 1217-1256, September.
    4. José María Sarabia & Vanesa Jordá & Faustino Prieto & Montserrat Guillén, 2020. "Multivariate Classes of GB2 Distributions with Applications," Mathematics, MDPI, vol. 9(1), pages 1-21, December.
    5. Kazuhiko Kakamu & Haruhisa Nishino, 2016. "Bayesian Estimation Of Beta-Type Distribution Parameters Based On Grouped Data," Discussion Papers 2016-08, Kobe University, Graduate School of Business Administration.
    6. David Warner & Prasada Rao & William E. Griffiths & Duangkamon Chotikapanich, 2011. "Global Inequality: Levels and Trends, 1993-2005," Discussion Papers Series 436, School of Economics, University of Queensland, Australia.
    7. Vanesa Jorda & José María Sarabia & Markus Jäntti, 2021. "Inequality measurement with grouped data: Parametric and non‐parametric methods," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 184(3), pages 964-984, July.
    8. Kazuhiko Kakamu & Haruhisa Nishino, 2019. "Bayesian Estimation of Beta-type Distribution Parameters Based on Grouped Data," Computational Economics, Springer;Society for Computational Economics, vol. 54(2), pages 625-645, August.
    9. Imre Lengyel, 2011. "Types of competitiveness of Hungarian regions: agglomeration economies and endogenous regional development," ERSA conference papers ersa11p674, European Regional Science Association.
    10. Andrés Rodríguez-Pose & Michael Storper, 2020. "Housing, urban growth and inequalities: The limits to deregulation and upzoning in reducing economic and spatial inequality," Urban Studies, Urban Studies Journal Limited, vol. 57(2), pages 223-248, February.
    11. Ricardo Flores-Fillol & Rosella Nicolini, "undated". "Aerotropolis: an aviation-linked space," Working Papers 283, Barcelona School of Economics.
    12. Delis, Manthos & Savva, Christos & Theodossiou, Panayiotis, 2020. "A Coronavirus Asset Pricing Model: The Role of Skewness," MPRA Paper 100877, University Library of Munich, Germany.
    13. Oliver Falck & Christina Guenther & Stephan Heblich & William R. Kerr, 2013. "From Russia with love: the impact of relocated firms on incumbent survival," Journal of Economic Geography, Oxford University Press, vol. 13(3), pages 419-449, May.
    14. Elisângela C. Biazatti & Gauss M. Cordeiro & Gabriela M. Rodrigues & Edwin M. M. Ortega & Luís H. de Santana, 2022. "A Weibull-Beta Prime Distribution to Model COVID-19 Data with the Presence of Covariates and Censored Data," Stats, MDPI, vol. 5(4), pages 1-15, November.
    15. Brennan C. Platt & Joseph Price & Henry Tappen, 2013. "The Role of Risk Preferences in Pay-to-Bid Auctions," Management Science, INFORMS, vol. 59(9), pages 2117-2134, September.
    16. BenSaïda, Ahmed & Slim, Skander, 2016. "Highly flexible distributions to fit multiple frequency financial returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 203-213.
    17. Christian Kleiber, 2008. "A Guide to the Dagum Distributions," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Duangkamon Chotikapanich (ed.), Modeling Income Distributions and Lorenz Curves, chapter 6, pages 97-117, Springer.
    18. Mark Thissen & Frank Van Oort, 2010. "European Place‐Based Development Policy And Sustainable Economic Agglomeration," Tijdschrift voor Economische en Sociale Geografie, Royal Dutch Geographical Society KNAG, vol. 101(4), pages 473-480, September.
    19. Joan Monras, 2020. "Immigration and Wage Dynamics: Evidence from the Mexican Peso Crisis," Journal of Political Economy, University of Chicago Press, vol. 128(8), pages 3017-3089.
    20. Carlino, Gerald & Kerr, William R., 2015. "Agglomeration and Innovation," Handbook of Regional and Urban Economics, in: Gilles Duranton & J. V. Henderson & William C. Strange (ed.), Handbook of Regional and Urban Economics, edition 1, volume 5, chapter 0, pages 349-404, Elsevier.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bge:wpaper:388. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Bruno Guallar (email available below). General contact details of provider: https://edirc.repec.org/data/bargses.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.