%0 Journal Article
%T New Probability Distributions in Astrophysics: XIII. Truncation for the Benini Distribution
%A Lorenzo Zaninetti
%J International Journal of Astronomy and Astrophysics
%P 203-219
%@ 2161-4725
%D 2024
%I Scientific Research Publishing
%R 10.4236/ijaa.2024.143013
%X 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 <i>k</i>th 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.
%K Stars: Normal
%K Stars: Luminosity Function
%K Mass Function Stars: Statistics
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=135700