… as Zipf's law or the Pareto distribution. … distribution is also sometimes called a scale-free
distribution. Why? Because a power law is the only distribution that is the same whatever scale …

… that all three terms, Zipf, power-law, and Pareto, can refer to … worthwhile to fit this distribution
with alternate distributions, … this rank distribution Zipf, and we will call it Zipf here as well. …

… slope is -1, which makes it Zipf. In order for there to be perfectly … to fit this distribution with
alternate distributions, such as the … this rank distribution Zipf, and we will call it Zipf here as well. …

… between Zipf and Pareto distributions we will, from this point on refer to Zipf's law. In particular,
we provide an overview of the characteristic shapes expected for Zipf's law in the cases of …

… widely considered distributions: Zipf distribution, Pareto distribution and probability distribution.
… three widely used distributions: the Zipf distribution, Pareto distribution and probability …

… : The Zipf distribution also known as scale-free distribution or discrete Pareto distribution, is
… zero, and it can also be viewed as the discretization of the Pareto (Type I) distribution. The …

… We have thus shown that the Zipf plot and the meplot are not sufficient to determine whether
our data are Pareto distributed or not. This problem may be irrelevant if the data are really …

… In the context, the scaling exponent includes the Pareto exponent and the Zipf exponent, the
… is also termed Zipf dimension, which equals the reciprocal of the Pareto exponent in theory. …

… (GPL): a general allometric scaling of the quantiles of rank distributions. Akin to multifractals,
… are characterized by Pareto statistics and by Lindy Laws. The intersection of Zipf’s Law and …

… Conversely, this property characterizes the Pareto distribution (and the Zipf distribution in the
… for being scale-free under truncation which, when satisfied, implies the Pareto distribution …