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.