The Cauchy Distribution

Usage

dcauchy(x, location = 0, scale = 1)
pcauchy(q, location = 0, scale = 1)
qcauchy(p, location = 0, scale = 1)
rcauchy(n, location = 0, scale = 1)

Value

These functions provide information about the Cauchy distribution with location parameter location and scale parameter scale.

dcauchy, pcauchy, and qcauchy are respectively the density, distribution function and quantile function of the Cauchy distribution. rcauchy generates random deviates from the Cauchy.

The Cauchy distribution with location l and scale s has density

f(x) = \frac{1}{\pi s} \left( 1 + \left(\frac{x - l}{s}\right)^2 \right)^{-1}

for all x.

See Also

dt for the t distribution which generalizes dcauchy(*, l = 0, s = 1).

Examples

dcauchy(-1:4) == 1 / (pi*(1 + (-1:4)^2))