Advances in Astrophysics

A Left and Right Truncated Lognormal Distribution for the Stars

Download PDF (834.2 KB) PP. 197 - 213 Pub. Date: August 18, 2017

DOI: 10.22606/adap.2017.23005

Author(s)

L. Zaninetti^*
Physics Department, via P.Giuria 1, I-10125 Turin, Italy

Abstract

The initial mass function for the stars is often modeled by a lognormal distribution. This paper is devoted to demonstrating the advantage of introducing a left and right truncated lognormal probability density function, which is characterized by four parameters. Its normalization constant, mean, the variance, second moment about the origin and distribution function are calculated. The chi-square test and the Kolmogorov–Smirnov test are performed on four samples of stars.

Keywords

Stars, characteristics and properties of Stars, normal

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