On the Truncated Pareto Distribution with applications
Lorenzo Zaninetti, Mario Ferraro
TL;DR
This paper explores the use of the truncated Pareto distribution in astrophysics, comparing it to the standard Pareto and suggesting a physical mechanism for observed Pareto tails in stellar masses.
Contribution
It introduces the application of the truncated Pareto distribution to astrophysical data and compares it with the traditional Pareto, proposing a physical explanation for Pareto tails in star masses.
Findings
Comparison between Pareto and truncated Pareto distributions in astrophysics.
Identification of a potential physical mechanism for Pareto tails.
Application to star mass and asteroid diameter data.
Abstract
The Pareto probability distribution is widely applied in different fields such us finance, physics, hydrology, geology and astronomy. This note deals with an application of the Pareto distribution to astrophysics and more precisely to the statistical analysis of mass of stars and of diameters of asteroids. In particular a comparison between the usual Pareto distribution and its truncated version is presented. Finally a possible physical mechanism that produces Pareto tails for the distribution of the masses of stars is suggested.
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