Poisson distribution maximum likelihood estimation

The maximum likelihood estimate of lambda is the empirical mean.

Usage

mlpois(x, na.rm = FALSE, ...)

Arguments

x: a (non-empty) numeric vector of data values.
na.rm: logical. Should missing values be removed?
...: currently affects nothing.

Value

mlpois returns an object of class univariateML. This is a named numeric vector with maximum likelihood estimates for lambda and the following attributes:

model: The name of the model.
density: The density associated with the estimates.
logLik: The loglikelihood at the maximum.
support: The support of the density.
n: The number of observations.
call: The call as captured my match.call

Details

For the density function of the Poisson distribution see Poisson.

References

Johnson, N. L., Kemp, A. W., & Kotz, S. (2005). Univariate Discrete Distributions (3rd ed.). Wiley-Blackwell.

Examples

mlpois(ChickWeight$weight)
#> Maximum likelihood estimates for the Poisson model 
#> lambda  
#>  121.8