%0 Journal Article
%T New Probability Distributions in Astrophysics: VIII. The Truncated Weibull¡ªPareto Distribution
%A Lorenzo Zaninetti
%J International Journal of Astronomy and Astrophysics
%P 177-193
%@ 2161-4725
%D 2022
%I Scientific Research Publishing
%R 10.4236/ijaa.2022.122011
%X We derive the truncated version of the Weibull¡ªPareto distribution, deriving the probability density function, the distribution function, the average value, the <em>r</em>th moment about the origin, the media, the random generation of values and the maximum likelihood estimator which allows deriving the three parameters. The astrophysical applications of the Weibull¡ªPareto distribution are the initial mass function for stars, the luminosity function for the galaxies of the Sloan Digital Sky Survey, the luminosity function for QSO and the photometric maximum of galaxies of the 2 MASS Redshift Survey.
%K Stars: Normal
%K Galaxy Groups
%K Clusters
%K Superclusters
%K Large Scale Structure of the Universe
%K Cosmology
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=117745