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We study the parametric description of the city size distribution (CSD) of 70different countries (developed and developing) using seven models, as follows:the lognormal (LN), the loglogistic (LL), the double Pareto lognormal (dPLN),the two-lognormal (2LN), the two-loglogistic (2LL), the three-lognormal (3LN)and the three-loglogistic (3LL). Our results show that 3LN and 3LL are the bestdensities in terms of non-rejections out of standard statistical tests.Meanwhile, according to the information criteria AIC and BIC, there is nosystematically dominant distribution.

Is there a universal parametric city size distribution? Empirical evidence for 70 countries