Johnson, N.L., Kotz, S. and Balakrishnan, N. (1994) Continuous Univariate Distributions. Vol. 1, 2nd Edition, Wiley.

has been cited by the following article:

• TITLE: New Probability Distributions in Astrophysics: XV. Truncation of the Exponentiated Gamma Distribution

  AUTHORS: Lorenzo Zaninetti

  KEYWORDS: Stars: Normal, Stars: Luminosity Function, Mass Function Stars: Statistics

  JOURNAL NAME: International Journal of Astronomy and Astrophysics, Vol.15 No.2, June 18, 2025

  ABSTRACT: The gamma function is a good approximation to the luminosity function (LF) of galaxies, and an exponentiated gamma distribution would permit a more rigorous analysis. This paper examines the exponentiated gamma distribution and its double truncation. The new results are applied to five clusters of stars. The magnitude version of the truncated LF is derived in order to fit the observed LF for galaxies. The regular and truncated LFs are applied to the five bands of SDSS galaxies.