This study provides a systematic review of the existing literature on Zipf's law for city size
distribution. Existing empirical evidence suggests that Zipf's law is not always observable …

The Boltzmann–Gibbs (BG) statistical mechanics constitutes one of the pillars of
contemporary theoretical physics. It is constructed upon the other pillars—classical …

Power law distributions, also known as heavy tail distributions, model distinct real life
phenomena in the areas of biology, demography, computer science, economics, information …

This paper examines the Zipf's law for the size distribution of Pakistani cities using the five
census data from 1951 to 1998. We observe that Zipf's law does not hold in any of the five …

This paper focuses on modelling the severity distribution. We directly model the small,
moderate and large losses with the Pareto Positive Stable (PPS) distribution and thus it is …

Between 1989 and 2019 the wealth of the Forbes 400 grew four times as fast as that of the
median household and twice the rate of a family at the 95th percentile, demonstrating a …

Pareto distribution is one of the well known distributions used to fit heavy-tailed data.
Various generalizations of this distribution have been reported in the literature by several …

The continued and extended use of nuclear power is often considered and discussed as a
viable energy policy option to meet energy demands while also meeting national CO 2 …

This paper is devoted to testing time series that exhibit behavior related to two or more
regimes with different statistical properties. Motivation of our study are two real data sets …

Luckstead and Devadoss (2017) fitted a distribution made up of lower tail Pareto, lognormal
body, and upper tail Pareto to city sizes in the US. Here, we propose a class of distributions …