Logit Gudermannian distribution‎: ‎Properties‎, ‎regression and applications

In this paper‎, ‎we propose a unit distribution called the logit Gudermannian distribution and present various statistical properties of the proposed model‎. ‎Six parameter estimation methods are explored in the quest to estimate the parameters of the proposed distribution‎. ‎We determine which estimation methods provide better parameter estimates through simulation studies‎. ‎The study shows that the logit Gudermannian distribution provides a better fit for the datasets used than other unit distributions‎. ‎Consequently‎, ‎the logit Gudermannian distribution is used to develop a parametric regression model for studying the relationship between a unit response variable and other exogenous variables‎. ‎The new regression model's performance is compared to that of other existing regression models and found to be competitive.

کلیدواژه ها:

Gudermannian distribution ، One-parameter distribution ، regression ، Unit distribution ، Univariate transformation