Continuous and mixed distributions on [0,1]

This chapter gives summary tables and plots for the explicit gamlss.dist continuous distributions with range (0, 1). It also gives summary tables and plots for the explicit gamlss.dist mixed distributions with ranges [0, 1), (0, 1], and [0, 1], which are continuous on (0, 1) and include point probabilities at zero or one, or both, respectively. The beta distribution is appropriate when the response variable takes values in a known restricted range, excluding the endpoints of the range. Appropriate standardization can be applied to make the range of the response variable (0,1). The zero- and one-inflated beta distribution is appropriate when the response variable takes values in a known restricted range including both the endpoints of the range. Appropriate standardization can be applied to make the range of the response variable [0,1], i.e. from zero to one, including both the endpoints, i.e. exact values 0 and 1.