Arturo, Ramos (2019): Have the log-population processes stationary and independent increments? Empirical evidence for Italy, Spain and the USA along more than a century.
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Abstract
We review the classical Gibrat’s process for the population of city sizes. In particular, we are interested in whether the log-population process has stationary and independent (Gibrat’s Law for cities) increments. We have tested these characteristics for the case of the municipalities of Italy and Spain and the places of USA for a time span of more than one century. The results are clear: stationarity and independence are empirically rejected by standard tests. These results open theoretically the way for the observance of other city size distributions other than the lognormal and the double Pareto lognormal, something that in fact has already happened in the literature.
Item Type: | MPRA Paper |
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Original Title: | Have the log-population processes stationary and independent increments? Empirical evidence for Italy, Spain and the USA along more than a century. |
Language: | English |
Keywords: | Gibrat’s process; log-population process; stationary increments; independent increments; Italian cities; Spanish cities; USA cities |
Subjects: | C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C46 - Specific Distributions ; Specific Statistics R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R1 - General Regional Economics > R11 - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R1 - General Regional Economics > R12 - Size and Spatial Distributions of Regional Economic Activity |
Item ID: | 93562 |
Depositing User: | Arturo Ramos |
Date Deposited: | 01 May 2019 16:53 |
Last Modified: | 05 Oct 2019 14:45 |
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URI: | https://mpra.ub.uni-muenchen.de/id/eprint/93562 |
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