Fisk {GB2} | R Documentation |
Parameters of the Fisk Distribution
Description
Calculation of the parameters and
of the Fisk distribution, which is a GB2 distribution with
. If
and
denote, respectively, the mean and variance of
,
then
and
.
Usage
fisk(z, w=rep(1, length(z)))
fiskh(z, w=rep(1, length(z)), hs=rep(1, length(z)))
Arguments
z |
numeric; vector of data values. |
w |
numeric; vector of weights. Must have the same length as |
hs |
numeric; vector of household sizes. Must have the same length as |
Details
Function fisk
first calculates the mean and variance of and next the values of
and
under the Fisk distribution.
Function
fiskh
first calculates the mean and variance of , assuming a sample of households, and next the values of
and
under the Fisk distribution.
Value
fisk
and fiskh
return vectors of length 4 containing the estimated parameters , eqnb, as well as
and
.
Author(s)
Monique Graf
References
Graf, M., Nedyalkova, D., Muennich, R., Seger, J. and Zins, S. (2011) AMELI Deliverable 2.1: Parametric Estimation of Income Distributions and Indicators of Poverty and Social Exclusion. Technical report, AMELI-Project.
See Also
optim
for the general-purpose optimization
Examples
library(laeken)
data(eusilc)
# Income
inc <- as.vector(eusilc$eqIncome)
# Weights
w <- eusilc$rb050
#Fisk parameters
fpar <- fisk(inc, w)