González-Val, Rafael and Ramos, Arturo and Sanz-Gracia, Fernando (2013): The accuracy of graphs to describe size distributions.
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Abstract
This paper analyses the performance of the graphs traditionally used to study size distributions: histograms, Zipf plots (double logarithmic graphs of rank compared to size) and plotted cumulative density functions. A lognormal distribution is fitted to urban data from three countries (the US, Spain and Italy) over all of the 20th century. We explain the advantages and disadvantages associated with these graphic methods and derive some statistical properties.
Item Type: | MPRA Paper |
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Original Title: | The accuracy of graphs to describe size distributions |
Language: | English |
Keywords: | city size distribution, Zipf plot, lognormal |
Subjects: | R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R0 - General > R00 - General |
Item ID: | 48577 |
Depositing User: | Rafael González-Val |
Date Deposited: | 24 Jul 2013 12:21 |
Last Modified: | 26 Sep 2019 18:59 |
References: | Eeckhout, J. (2004). “Gibrat’s Law for (all) cities,” American Economic Review 94(5), 1429-1451. Eeckhout, J. (2009). “Gibrat’s Law for (all) cities: reply,” American Economic Review 99(4), 1676-1683. Giesen, K., A. Zimmermann and J. Suedekum (2010). “The size distribution across all cities – double Pareto lognormal strikes,” Journal of Urban Economics, 68: 129-137. González-Val, R., L. Lanaspa and F. Sanz (2013b). “New evidence on Gibrat’s law for cities,” Urban Studies, forthcoming. González-Val, R., A. Ramos, F. Sanz, and M. Vera-Cabello (2013a). “Size distributions for all cities: which one is best?,” Papers in Regional Science, forthcoming. Levy, M. (2009). “Gibrat’s Law for (all) cities: a comment,” American Economic Review 99(4), 1672-1675. Stanley, M. H. R., S. V. Buldyrev, S. Havlin, R. N. Mantegna, M. A. Salinger and H. E. Stanley, (1995). “Zipf plots and the size distribution of firms,” Economics Letters, 49: 453-457. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/48577 |