| Geometric {stats} | R Documentation |
Density, distribution function, quantile function and random
generation for the geometric distribution with parameter prob.
dgeom(x, prob, log = FALSE) pgeom(q, prob, lower.tail = TRUE, log.p = FALSE) qgeom(p, prob, lower.tail = TRUE, log.p = FALSE) rgeom(n, prob)
x, q |
vector of quantiles representing the number of failures in a sequence of Bernoulli trials before success occurs. |
p |
vector of probabilities. |
n |
number of observations. If length(n) > 1, the length
is taken to be the number required. |
prob |
probability of success in each trial. |
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]. |
The geometric distribution with prob = p has density
p(x) = p (1-p)^x
for x = 0, 1, 2, ...
If an element of x is not integer, the result of pgeom
is zero, with a warning.
The quantile is defined as the smallest value x such that F(x) >= p, where F is the distribution function.
dgeom gives the density,
pgeom gives the distribution function,
qgeom gives the quantile function, and
rgeom generates random deviates.
dnbinom for the negative binomial which generalizes
the geometric distribution.
qgeom((1:9)/10, prob = .2) Ni <- rgeom(20, prob = 1/4); table(factor(Ni, 0:max(Ni)))