González-Val, Rafael and Ramos, Arturo and Sanz-Gracia, Fernando (2010): Size Distributions for All Cities: Lognormal and q-exponential functions.
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This paper analyses in detail the features offered by a function which is practically new to Urban Economics, the q-exponential, in describing city size distributions. We highlight two contributions. First, we propose a new and simple procedure for estimating their parameters. Second, and more importantly, we explain the characteristics associated with two traditional graphic methods (Zipf plots and cumulative density functions) for discriminating between functions. We apply them to the lognormal and q-exponential, justifying them as the best functions for explaining the entire distribution, and that the relationship between them is of complementarity. The empirical evidence relies on the analysis of urban data of three countries (USA, Spain and Italy) over all of the 20th century.
|Item Type:||MPRA Paper|
|Original Title:||Size Distributions for All Cities: Lognormal and q-exponential functions|
|Keywords:||city size distribution; q-exponential; lognormal|
|Subjects:||?? C16 ??
C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C13 - Estimation: General
R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R0 - General > R00 - General
|Depositing User:||Rafael González-Val|
|Date Deposited:||10. Sep 2010 17:27|
|Last Modified:||09. Mar 2015 07:10|
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On the best functions to describe city size distributions. (deposited 07. Apr 2010 17:36)
- Size Distributions for All Cities: Lognormal and q-exponential functions. (deposited 10. Sep 2010 17:27) [Currently Displayed]