Modified Unit-Half-Normal Distribution with Applications
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2024
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In 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.