pareto.fit {ParetoPosStable}

Fitting a Pareto distribution

Description

It is an auxiliar function for fitting a Pareto distribution as a particular case of a Pareto Positive Stable distribution, allowing the scale parameter to be held fixed if desired.

Usage

pareto.fit(x, estim.method = "MLE", sigma = NULL, start, ...)

Arguments

x

The vector of observations.

estim.method

The estimation method, "MLE" or "OLS"

sigma

The value of the scale parameter, if it is known; if the value is NULL, the parameter is estimated.

start

Unused argument from PPS.fit.

...

Other arguments.

Details

This function is called by PPS.fit() when Pareto argument is TRUE.

Value

A PPSfit Object.

References

Sarabia, J.M and Prieto, F. (2009). The Pareto-positive stable distribution: A new descriptive model for city size data, Physica A: Statistical Mechanics and its Applications, 388(19), 4179-4191.

See Also

PPS.fit, coef.PPSfit, print.PPSfit, plot.PPSfit, GoF