Density, distribution function, quantile function and random generation for the geometric distribution with parameter
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.
- vector of probabilities.
- number of observations. If
length(n) > 1, the length is taken to be the number required.
- probability of success in each trial.
0 < prob <= 1.
- log, log.p
- logical; if TRUE, probabilities p are given as log(p).
- 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, ..., 0 < p ≤ 1.
If an element of
x is not integer, the result of
dgeom 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.
prob will result in return value
NaN, with a warning.
The length of the result is determined by
rgeom, and is the maximum of the lengths of the numerical parameters for the other functions. The numerical parameters other than
n are recycled to the length of the result. Only the first elements of the logical parameters are used.
Distributions for other standard distributions, including
dnbinom for the negative binomial which generalizes the geometric distribution.
Documentation reproduced from R 2.15.3. License: GPL-2.