Pearson Type III distribution

Makes a Pearson Type III distribution, which is a Gamma distribution, but shifted.

Usage

dst_pearson3(location, scale, shape)

Arguments

location

Location parameter, specifying the boundary of the distribution; single numeric. It is the left endpoint when shape is positive and the right endpoint when shape is negative.

scale

Scale parameter of the Gamma distribution; single positive numeric.

shape

Shape parameter of the Gamma distribution; single numeric. A negative value gives the distribution reflected about location: the Pearson Type III with negative skewness, upper-bounded at location.

Value

A Pearson Type III distribution.

Examples

dst_pearson3(1, 1, 1)
#> Pearson Type III distribution (continuous) 
#> --Parameters--
#> location    scale    shape 
#>        1        1        1 
# A negative shape reflects the distribution about `location`:
dst_pearson3(1, 1, -1)
#> Pearson Type III distribution (continuous) 
#> --Parameters--
#> location    scale    shape 
#>        1        1       -1