location
and scale parameter scale
.dcauchy(x, location = 0, scale = 1, log = FALSE)
pcauchy(q, location = 0, scale = 1, lower.tail = TRUE, log.p = FALSE)
qcauchy(p, location = 0, scale = 1, lower.tail = TRUE, log.p = FALSE)
rcauchy(n, location = 0, scale = 1)
length(n) > 1
, the length
is taken to be the number required.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 length of the result is determined by n
for
rcauchy
, and is the maximum of the lengths of the
numerical arguments for the other functions. The numerical arguments other than n
are recycled to the
length of the result. Only the first elements of the logical
arguments are used.location
or scale
are not specified, they assume
the default values of 0
and 1
respectively. 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 \(x\).dt
for the t distribution which generalizes
dcauchy(*, l = 0, s = 1)
.