The Triangular2 distribution is called so because its density function consists of two triangles. The area of each triangle is 0.5. The range of the distribution is a bounded interval of real numbers.
In the Triangular2 distribution the key numbers, 窶彗窶, 窶彙窶 and 窶彡窶 are interpreted as follows:
窶彗窶 = The 0%-fractile.
窶彙窶 = The 50%-fractile.
窶彡窶 = The 100%-fractile.
To get a sensible distribution, the specified values must satisfy:
窶彗窶 < 窶彙窶 < 窶彡窶
DynRisk will reorder the numbers if they do not satisfy these requirements. No further adjustments are needed.
Since the area of each triangle is 0.5, this implies that the point where the two triangles meet, is equal to the 50% fractile, i.e., the 窶彙窶 value.
The somewhat strange shape of the Triangular2 distribution, makes it a less popular distribution compared to e.g., the Triangular distribution. Still, the key numbers for the Triangular2 distribution are easier to interpret, and hence also often easier to assess subjectively.
