mu2lam: Calculate lambda of Conway Maxwell Poisson distribution from...
In edpcr: Performs Extended Digital PCR Analysis

Description Usage Arguments Details Value Author(s) References See Also Examples

Uses uniroot to calculate lambda of the Conway Maxwell Poisson distribution with given mean and dispersion parameters.

1	mu2lam(mu, disp, l0 = NULL, l1 = NULL)

`mu`	mean parameter (positive)
`disp`	dispersion parameter (positive)
`l0, l1`	initial end points of interval serached by uniroot, `l0 < l1`. The root does not need to lie between these end points.

For the Conway Maxwell Poiosson ditribution the probability of x successes is given by

p(x) = λ^x exp(-λ)/(x!)^ν

for x = 0, 1, 2, ….

mu2lam gives λ for the Conway Maxwell Poisson distribtution with mean mu and dispersion ν. Uses uniroot to calculate λ of the Conway Maxwell Poisson distribution with given mean and dispersion.

The value of λ.

Philip Wilson

Shmueli, G., Minka, T. P., Kadane, J. B., Borle, S. and Boatwright, P., "A useful distribution for fitting discrete data: Revival of the Conway-Maxwell-Poisson distribution," J. Royal Statist. Soc., v54, pp. 127-142, 2005.

p2lam