Wedge distribution

The wedge distribution has a domain of 0 to 1 and has a linear probability density function over that domain.

Usage

rwedge(n, a)

Arguments

n

number of observations

a

a gradient from -2 (left skewed) to 2 (right skewed)

Value

a vector of probabilities, quantiles, densities or samples.

Details

The rwedge can be combined with quantile functions to skew standard distributions, or introduce correlation or down weight certain parts of the distribution.

Examples

pwedge(seq(0,1,0.1), a=1)
#>  [1] 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5
dwedge(seq(0,1,0.1), a=1)
#>  [1] 0.000 0.055 0.120 0.195 0.280 0.375 0.480 0.595 0.720 0.855 1.000
qwedge(c(0.25,0.5,0.75), a=-1)
#> [1] 0.1771243 0.3819660 0.6339746

stats::cor(
  stats::qnorm(rwedge(1000, a=2)),
  stats::qnorm(rwedge(1000, a=-2))
)
#> [1] 0.004453935