The unit generalized half normal distribution: A new bounded distribution with inference and application
Citation
Korkmaz, M. Ç.(2020) The unit generalized half normal distribution: A new bounded distribution with inference and application. University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics, 82(2), 133-140.Abstract
In this paper, a new distribution defined on (0,1) bounded interval has
been introduced. We define the distribution by transformation of a positive random
variable (rv) with respect to exponential function. Basic distributional properties of
newly defined distribution are studied. We pointed out the different estimation methods
for its parameters’ estimations. We assess the performance of the estimators of these
estimation methods by the simulation study. Application of the proposed distribution to
a real data set shows better fit than many known distributions on the (0,1) interval.
