Mathematics (Dec 2023)

Modified Unit-Half-Normal Distribution with Applications

  • Paulina I. Alvarez,
  • Héctor Varela,
  • Isaac E. Cortés,
  • Osvaldo Venegas,
  • Héctor W. Gómez

DOI
https://doi.org/10.3390/math12010136
Journal volume & issue
Vol. 12, no. 1
p. 136

Abstract

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In this article, we introduce a new continuous distribution based on the unit interval. This distribution is generated from a transformation of a random variable with half-normal distribution. We study its basic properties, percentiles, moments and order statistics. Maximum likelihood estimation is applied, and we present a simulation study to observe the behavior of the maximum likelihood estimators. We examine two applications to real proportions datasets, where the new distribution is shown to provide a better fit than other distributions defined in the unit interval.

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