On Some Properties of the Beta Normal Distribution
Statistics Theory
2022-06-03 v1 Data Analysis, Statistics and Probability
Methodology
Statistics Theory
Abstract
The beta normal distribution is a generalization of both the normal distribution and the normal order statistics. Some of its mathematical properties and a few applications have been studied in the literature. We provide a better foundation for some properties and an analytical study of its bimodality. The hazard rate function and the limiting behavior are examined. We derive explicit expressions for moments, generating function, mean deviations using a power series expansion for the quantile function, and Shannon entropy.
Cite
@article{arxiv.2206.00762,
title = {On Some Properties of the Beta Normal Distribution},
author = {L. C. Rêgo and R. J. Cintra and G. M. Cordeiro},
journal= {arXiv preprint arXiv:2206.00762},
year = {2022}
}
Comments
18 pages, 9 figures