Zero-Altered Binomial Distribution
Density, distribution function, quantile function and random generation
for the zero-altered binomial distribution with parameter pobs0
.
dzabinom(x, size, prob, pobs0 = 0, log = FALSE) pzabinom(q, size, prob, pobs0 = 0) qzabinom(p, size, prob, pobs0 = 0) rzabinom(n, size, prob, pobs0 = 0)
x, q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations.
If |
size, prob, log |
Parameters from the ordinary binomial distribution
(see |
pobs0 |
Probability of (an observed) zero, called pobs0.
The default value of |
The probability function of Y is 0 with probability pobs0
,
else a positive
binomial(size, prob)
distribution.
dzabinom
gives the density and
pzabinom
gives the distribution function,
qzabinom
gives the quantile function, and
rzabinom
generates random deviates.
The argument pobs0
is recycled to the required length, and
must have values which lie in the interval [0,1].
T. W. Yee
size <- 10; prob <- 0.15; pobs0 <- 0.05; x <- (-1):7 dzabinom(x, size = size, prob = prob, pobs0 = pobs0) table(rzabinom(100, size = size, prob = prob, pobs0 = pobs0)) ## Not run: x <- 0:10 barplot(rbind(dzabinom(x, size = size, prob = prob, pobs0 = pobs0), dbinom(x, size = size, prob = prob)), beside = TRUE, col = c("blue", "orange"), cex.main = 0.7, las = 1, ylab = "Probability", names.arg = as.character(x), main = paste("ZAB(size = ", size, ", prob = ", prob, ", pobs0 = ", pobs0, ") [blue] vs", " Binom(size = ", size, ", prob = ", prob, ") [orange] densities", sep = "")) ## End(Not run)
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