Alvarez, Paulina I.Varela, HéctorCortés, Isaac E.Venegas, OsvaldoGómez, Héctor W.2026-03-232026-03-2320242227-739010.3390/math12010136https://repositorioabierto.uantof.cl/handle/uantof/668In this article, we introduce a new continuous distribution based on the unit interval. Thisdistribution is generated from a transformation of a random variable with half-normal distribution.We study its basic properties, percentiles, moments and order statistics. Maximum likelihoodestimation is applied, and we present a simulation study to observe the behavior of the maximumlikelihood estimators. We examine two applications to real proportions datasets, where the newdistribution is shown to provide a better fit than other distributions defined in the unit interval.enAttribution 4.0 Internationalhalf-normal distributionproportions datamaximum likelihood estimationArticle