Open AccessA new regression model for bounded response variable: An alternative to the beta and unit-Lindley regression models
Author(s) -
Emrah Altun,
Mahmoud El-Morshedy,
Mohamed S. Eliwa
Publication year - 2021
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0245627
Subject(s) - mathematics , regression analysis , beta distribution , statistics , cumulative distribution function , unit interval , bounded function , quantile regression , regression , distribution (mathematics) , probability density function , combinatorics , mathematical analysis
A new distribution defined on (0,1) interval is introduced. Its probability density and cumulative distribution functions have simple forms. Thanks to its simple forms, the moments, incomplete moments and quantile function of the proposed distribution are derived and obtained in explicit forms. Four parameter estimation methods are used to estimate the unknown parameter of the distribution. Besides, simulation study is implemented to compare the efficiencies of these parameter estimation methods. More importantly, owing to the proposed distribution, we provide an alternative regression model for the bounded response variable. The proposed regression model is compared with the beta and unit-Lindley regression models based on two real data sets.