Zero-inflated negative binomial distribution
Probability mass function and random generation for the zero-inflated negative binomial distribution.
dzinb(x, size, prob, pi, log = FALSE) pzinb(q, size, prob, pi, lower.tail = TRUE, log.p = FALSE) qzinb(p, size, prob, pi, lower.tail = TRUE, log.p = FALSE) rzinb(n, size, prob, pi)
x, q |
vector of quantiles. |
size |
target for number of successful trials, or dispersion parameter (the shape parameter of the gamma mixing distribution). Must be strictly positive, need not be integer. |
prob |
probability of success in each trial. |
pi |
probability of extra zeros. |
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]. |
p |
vector of probabilities. |
n |
number of observations. If |
Probability density function
f(x) = [if x = 0:] (1-π)+π * p^r [else:] (1-π) * dnbinom(x, size, prob)
x <- rzinb(1e5, 100, 0.6, 0.33) xx <- -2:200 plot(prop.table(table(x)), type = "h") lines(xx, dzinb(xx, 100, 0.6, 0.33), col = "red") xx <- seq(0, 200, by = 0.01) plot(ecdf(x)) lines(xx, pzinb(xx, 100, 0.6, 0.33), col = "red")
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