dcauchy(x, location = 0, scale = 1) pcauchy(q, location = 0, scale = 1) qcauchy(p, location = 0, scale = 1) rcauchy(n, location = 0, scale = 1)
x,q
| vector of quantiles. |
p
| vector of probabilities. |
n
| number of observations to generate. |
location,scale
| location and scale parameters. |
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.
If 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) = 1 / (pi s (1 + ((x-l)/s)^2))
for all x.dt
for the t distribution which generalizes
dcauchy(*, l = 0, s = 1)
.dcauchy(-1:4) == 1 / (pi*(1 + (-1:4)^2))