Cauchy {stats} | R Documentation |
Density, distribution function, quantile function and random
generation for the Cauchy distribution with location parameter
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)
x, q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations. If length(n) > 1 , the length
is taken to be the number required. |
location, scale |
location and scale parameters. |
log, log.p |
logical; if TRUE, probabilities p are given as log(p). |
lower.tail |
logical; if TRUE (default), probabilities are P[X <= x], otherwise, P[X > x]. |
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.
dcauchy
, pcauchy
, and qcauchy
are respectively
the density, distribution function and quantile function of the Cauchy
distribution. rcauchy
generates random deviates from the
Cauchy.
Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988) The New S Language. Wadsworth & Brooks/Cole.
dt
for the t distribution which generalizes
dcauchy(*, l = 0, s = 1)
.
dcauchy(-1:4)