PARETO OR LOG‐NORMAL? BEST FIT AND TRUNCATION IN THE DISTRIBUTION OF ALL CITIES*
重新评估了城市规模分布中帕累托分布与对数正态分布哪个拟合更好,并考察了截断点的影响,比较了四种方法,为研究者选择分布和检验截断点提供指导。
ABSTRACT In the literature, the distribution of city size is a controversial issue with two common contenders: the Pareto and the log‐normal. While the first is most accredited when the distribution is truncated above a certain threshold, the latter is usually considered a better representation for the untruncated distribution of all cities. In this paper, we reassess the empirical evidence on the best‐fitting distribution in relation to the truncation point issue. Specifically, we provide a comparison among four recently proposed approaches and alternative definitions of U.S. cities. Our results highlight the importance to look at issue of the best‐fitting distribution together with the truncation issue and provide guidance with respect to the existing tests of the truncation point.