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https://doi.org/10.1093/mnras/stab194

has been cited by the following article:

• TITLE: New Probability Distributions in Astrophysics: VIII. The Truncated Weibull—Pareto Distribution

  AUTHORS: Lorenzo Zaninetti

  KEYWORDS: Stars: Normal, Galaxy Groups, Clusters, Superclusters, Large Scale Structure of the Universe, Cosmology

  JOURNAL NAME: International Journal of Astronomy and Astrophysics, Vol.12 No.2, June 10, 2022

  ABSTRACT: We derive the truncated version of the Weibull—Pareto distribution, deriving the probability density function, the distribution function, the average value, the rth 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—Pareto 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.