TITLE:
New Probability Distributions in Astrophysics: XVI. Truncation for the Kiang Distribution and the VAST Catalog for Cosmic Voids
AUTHORS:
Lorenzo Zaninetti
KEYWORDS:
Methods: Statistical, Cosmology: Observations, (Cosmology): Large-Scale Structure of the Universe
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.15 No.4,
November
25,
2025
ABSTRACT: The release of the VAST catalog for the effective radius of cosmic voids has produced a large quantity of data that ask to be analysed with old and new probability distributions. We tested two families of distributions: the lognormal and the Kiang function. In more detail, we have analysed the standard lognormal distribution, the truncated lognormal distribution, the exponentiated lognormal distribution and the exponentiated lognormal distribution with truncation. About the Kiang function, we easily derived the distribution in radius. We introduced the effect of truncation for the general Kiang function and for the distribution in radius. All the new and old distributions were compared with the six different catalogs of cosmic voids for VAST.