Multiplicative Poisson Distribution
These functions provide information about the multiplicative Poisson
distribution with parameters m and s: density,
cumulative distribution, quantiles, and random generation.
The multiplicative Poisson distribution with mu = m has density
p(y) = c(m,s) exp(-m) m^y s^(y^2) / y!
with s <= 1 for y = 0, …, where c(.) is a normalizing constant.
Note that it only allows for underdispersion, not being defined for s > 1.
dmultpois(y, m, s, log=FALSE) pmultpois(q, m, s) qmultpois(p, m, s) rmultpois(n, m, s)
y |
vector of counts |
q |
vector of quantiles |
p |
vector of probabilities |
n |
number of values to generate |
m |
scalar or vector of means |
s |
scalar or vector of overdispersion parameters, all of which must lie in (0,1). |
log |
if TRUE, log probabilities are supplied. |
J.K. Lindsey
dpois for the Poisson, ddoublepois for
the double Poisson, dpvfpois for the power variance
function Poisson, dconsul for the Consul
generalized Poisson, dgammacount for the gamma count, and
dnbinom for the negative binomial distribution.
dmultpois(5,10,0.9) pmultpois(5,10,0.9) qmultpois(0.85,10,0.9) rmultpois(10,10,0.9)
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