Fisk | R Documentation |
Calculation of the parameters a and b of the Fisk distribution, which is a GB2 distribution with p = q = 1. If m and v denote, respectively, the mean and variance of log(z), then \hat{a} = π/√{3*v} and \hat{b} = \exp(m).
fisk(z, w=rep(1, length(z))) fiskh(z, w=rep(1, length(z)), hs=rep(1, length(z)))
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 |
Function fisk
first calculates the mean and variance of log(z) and next the values of a and b under the Fisk distribution.
Function fiskh
first calculates the mean and variance of log(z), assuming a sample of households, and next the values of a and b under the Fisk distribution.
fisk
and fiskh
return vectors of length 4 containing the estimated parameters a, eqnb, as well as p=1 and q=1.
Monique Graf
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.
optim
for the general-purpose optimization
library(laeken) data(eusilc) # Income inc <- as.vector(eusilc$eqIncome) # Weights w <- eusilc$rb050 #Fisk parameters fpar <- fisk(inc, w)
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