Test of two hypotheses explaining the size of populations in a system of cities

@article{Vitanov2015TestOT,
  title={Test of two hypotheses explaining the size of populations in a system of cities},
  author={Nikolay K. Vitanov and Marcel Ausloos},
  journal={Journal of Applied Statistics},
  year={2015},
  volume={42},
  pages={2686 - 2693}
}
Two classical hypotheses are examined about the population growth in a system of cities: Hypothesis 1 pertains to Gibrat's and Zipf's theory which states that the city growth–decay process is size independent; Hypothesis 2 pertains to the so-called Yule process which states that the growth of populations in cities happens when (i) the distribution of the city population initial size obeys a log-normal function, (ii) the growth of the settlements follows a stochastic process. The basis for the… 
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