The Double Poisson Distribution

Usage

ddoublepois(y, m, s)
pdoublepois(q, m, s)

Arguments

y vector of counts
q vector of quantiles
m vector of means
s vector of overdispersion parameters

Value

These functions provide information about the double Poisson distribution with parameters m and s. ddoublepois gives the density and pdoublepois gives the distribution function.

The double Poisson distribution with mu = m has density

p(y) = c(m,s) s^(y/m) (m/y)^(y log(s)) y^(y-1) / y!

for y = 0, ..., where c(.) is a normalizing constant.

See Also

dpois for the Poisson, dmultpois for the multiplicative Poisson, and dnbinom for the negative binomial distribution.

Examples

ddoublepois(5,5,0.9)
pdoublepois(5,5,0.9)

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