Triangular Distribution Functions

Functions to compute the probability density function, cumulative distribution function, and quantile function for the Triangular distribution.

Usage

triangular_pdf(x, lower = 0, mode = 1, upper = 2)

triangular_lpdf(x, lower = 0, mode = 1, upper = 2)

triangular_cdf(x, lower = 0, mode = 1, upper = 2)

triangular_lcdf(x, lower = 0, mode = 1, upper = 2)

triangular_quantile(p, lower = 0, mode = 1, upper = 2)

Arguments

x

quantile

lower

lower limit of the distribution (default is 0)

mode

mode of the distribution (default is 1)

upper

upper limit of the distribution (default is 2)

p

probability (0 <= p <= 1)

Value

A single numeric value with the computed probability density, log-probability density, cumulative distribution, log-cumulative distribution, or quantile depending on the function called.

See also

Boost Documentation for more details on the mathematical background.

Examples

# Triangular distribution with lower = 0, mode = 1, upper = 2
triangular_pdf(1)
#> [1] 1
triangular_lpdf(1)
#> [1] 0
triangular_cdf(1)
#> [1] 0.5
triangular_lcdf(1)
#> [1] -0.6931472
triangular_quantile(0.5)
#> [1] 1