  The saltbox-roof parametric probability distribution is a special case of the
triangular distribution, where only one side is truncated. Here it is presented
as a single and independent distribution, where the explicit equations are
defined for its probability density--, the cumulative distribution--, and the
inverse of the cumulative distribution (quantile--) functions as also its
random generator. Four parameters are necessary to define it: the lower and the
upper limits, the mode, and a shape parameter. Also, the saltbox-roof
distribution degenerates into the uniform distribution, into a kind of a
trapezoidal distribution and into other special cases of the general triangular
distribution, all of them which are related to the domain of the shape
parameter within the mode. The mean, median, and the variance are also here
expressed by explicit equations. The function equations have been verified with
theorems of truncated distributions. Three application examples are exposed.
