DoublePoisson {rmutil} | R Documentation |
Double Poisson Distribution
Description
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.
Examples
ddoublepois(5,10,0.9)
pdoublepois(5,10,0.9)
qdoublepois(0.08,10,0.9)
rdoublepois(10,10,0.9)