Continuous distributions on (0, ∞)

This chapter gives summary tables and plots for the explicit gamlss.dist continuous distributions with range (0, 8). A continuous random variable Y defined on (0, 8), is said to have a scale family of distributions with scaling parameter (for fixed values of all other parameters of the distribution) if Z=Y theta. Parameter s is a primary true van Zwet skewness parameter. It may be noted that s is a true variance parameter (since the variance increases monotonically with s, for fixed µ), s is also a primary true moment skewness parameter and a primary true moment kurtosis parameter. The chapter also presents three versions of the two-parameter Weibull distribution implemented in gamlss.