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Benini, R. (1905) I diagrammi a scala logaritmica (a proposito della graduazione per valore delle successioni ereditarie in italia, francia e inghilterra). Giornale degli economisti, 30, 222.

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• 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.