Paralogistic distribution maximum likelihood estimation

This function estimates the only the shape parameters of the Paralogistic distribution. The rate is set to 1.

Usage

mlparalogis(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

mlparalogis returns an object of class univariateML. This is a named numeric vector with maximum likelihood estimates for shape 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 Paralogistic distribution see Paralogistic.

References

Kleiber, C. and Kotz, S. (2003), Statistical Size Distributions in Economics and Actuarial Sciences, Wiley. Klugman, S. A., Panjer, H. H. and Willmot, G. E. (2012), Loss Models, From Data to Decisions, Fourth Edition, Wiley.

Examples

mlparalogis(abalone$length)
#> Maximum likelihood estimates for the Paralogistic model 
#> shape  
#> 3.715