On the Truncated Pareto Distribution with applications

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.

10 pages 6 figures

References in corpus (1)

• The prompt energy release of gamma-ray bursts using a cosmological k-correction

Cited by in corpus (3)

• Giant radio galaxies in the LoTSS Boötes deep field
• Understanding heavy tails in a bounded world or, is a truncated heavy tail heavy or not?
• The Impact Crater Size-Frequency Distribution on Pluto Follows a Truncated Pareto Distribution: Results from a First Data Set Based on the Recent New Horizons' Flyby