These functions provide information about the double Poisson
distribution with parameters m and s: density,
cumulative distribution, quantiles, and random generation.
The double Poisson distribution with mu \(= m\) has density
$$p(y) = c({\mu}, {\lambda}) {\lambda}^({y}/{\mu}) ({\mu}/{y})^(y\log({\lambda})) {y}^{(y-1)} / {y!}%
$$
for \(y = 0, \ldots\), where c(.) is a normalizing constant.
Usage
ddoublepois(y, m, s, log=FALSE)
pdoublepois(q, m, s)
qdoublepois(p, m, s)
rdoublepois(n, m, s)
Arguments
y
vector of counts
q
vector of quantiles
p
vector of probabilities
n
number of values to generate
m
vector of means
s
vector of overdispersion parameters
log
if TRUE, log probabilities are supplied.
See Also
dpois for the Poisson, dconsul for
the Consul generalized Poisson, dgammacount for
the gamma count, dmultpois for the
multiplicative Poisson, dpvfpois for the power
variance function Poisson, and dnbinom for the negative
binomial distribution.