p2lam: Calculate lambda of Conway Maxwell Poisson distribution from...

In edpcr: Performs Extended Digital PCR Analysis

Description

Uses uniroot to calculate lambda of the Conway Maxwell Poisson distribution with given probability of 0 successes and dispersion.

Usage

p2lam(p0, disp, n = 100)

Arguments

p0	probability of 0 successes.
disp	dispersion parameter (positive).
n	truncation integer.

Details

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, ….

p2lam gives λ for the Conway Maxwell Poisson distribtution with p(0) and ν.

Value

The value of λ.

Author(s)

Philip Wilson

References

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.

See Also

mu2lam, p2mu

Examples

p2lam(.05,1.2)

edpcr documentation built on May 2, 2019, 5:22 p.m.