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rmutil (version 1.1.9)

Consul: Consul Distribution

Description

These functions provide information about the Consul distribution with parameters m and s: density, cumulative distribution, quantiles, and random generation.

The Consul distribution with mu \(= m\) has density $$p(y) = \mu \exp(-(\mu+y(\lambda-1))/\lambda) (\mu+y(\lambda-1))^(y-1)/(\lambda^y y!)% $$ for \(y = 0, \ldots\).

Usage

dconsul(y, m, s, log=FALSE)
pconsul(q, m, s)
qconsul(p, m, s)
rconsul(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, ddoublepois for the double Poisson, dmultpois for the multiplicative Poisson, and dpvfpois for the power variance function Poisson.

Examples

Run this code
dconsul(5,10,0.9)
pconsul(5,10,0.9)
qconsul(0.08,10,0.9)
rconsul(10,10,0.9)

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