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.