TITLE:
New Probability Distributions in Astrophysics: XIII. Truncation for the Benini Distribution
AUTHORS:
Lorenzo Zaninetti
KEYWORDS:
Stars: Normal, Stars: Luminosity Function, Mass Function Stars: Statistics
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.14 No.3,
August
30,
2024
ABSTRACT: In order to introduce a right truncated version of the Benini distribution, we derive its probability density function, its distribution function, its average value, its kth moment about the origin, its median, how to randomly generate its values, and the maximum likelihood estimator for its three unknown parameters. The astrophysical application of the Benini distribution and its right truncated version is to the initial mass function for stars.