Ramos, Arturo (2015): Loggrowth distributions of US city sizes and nonLévy processes.

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Abstract
We study whether the hypothesis that the logpopulation of US cities follows a Lévy process can be rejected or not. The result seems to be rejection.
As a consequence, the cited process seems not to be described by a standard Brownian motion with drift (with a Yule process), thus explaining in another way the rejection of the lognormal and double Pareto lognormal distributions for US city size in recent studies. The datasets employed are that of US incorporated places on the period 18902000.
However, we recall a way of obtaining a family of stochastic Itô differential equations whose sample paths are associated to the timedependent probability density functions for city size that in principle could be observed empirically
Item Type:  MPRA Paper 

Original Title:  Loggrowth distributions of US city sizes and nonLévy processes 
Language:  English 
Keywords:  Lévy process, Brownian motion with drift, Yule process, stochastic Itô differential equation, US city size 
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:  66561 
Depositing User:  Arturo Ramos 
Date Deposited:  11. Sep 2015 05:12 
Last Modified:  11. Sep 2015 05:44 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/66561 