New Class of Unit-Power-Skew-Normal Distribution and Its Associated Regression Model for Bounded Responses

Several papers on distributions to model rates and proportions have been recently published; their fitting in numerous instances is better than the alternative beta distribution, which has distribution follow when it necessary quantify average of a response variable based set covariates. Despite great usefulness this fit responses (0,1) unit interval, its relevance loses objectivity interest quantifying influence these covariates quantiles (0,1); being most critical situation presents high asymmetry and/or kurtosis. The main objective work introduce for modeling proportions. introduced obtained from alpha-power extension skew–normal known literature as power–skew–normal distribution.