CompoundMoments | R Documentation |
These functions calculate the moment of order k
and incomplete moment of order k
of a GB2 compound random variable X as well as the moment of order k
for each component density.
mkl.cgb2(k, shape1, scale, shape2, shape3, pl0, decomp="r") moment.cgb2(k, shape1, scale, shape2 ,shape3, pl0, pl, decomp="r") incompl.cgb2(x, k, shape1, scale, shape2, shape3, pl0, pl, decomp="r")
x |
numeric; vector of quantiles. |
k |
numeric; order of the moment. |
shape1,scale,shape2,shape3 |
numeric; positive parameters of the GB2 distribution. |
pl0 |
numeric; a vector of initial proportions defining the number of components and the weight of each component density in the decomposition. Sums to one. |
pl |
numeric; a vector of mixture probabilities. Sums to one. If pl=pl0 we obtain the GB2 distribution. |
decomp |
string; specifying if the decomposition of the GB2 is done with respect to the right tail ("r") or the left tail ("l") of the distribution.
By default, |
mkl.cgb2
returns a vector of the moments of the component densities, moment.cgb2
returns the moment of order k
and incompl.cgb2
- the incomplete moment of order k
.
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.
#\dontrun{ #\library{cubature} # GB2 parameters af <- 5 bf <- 20000 pf <- 0.45 qf <- 0.75 p0 <- rep(1/3,3) p1 <- c(0.37,0.43,0.2) # moments for the component densities mkl.cgb2(1,af,bf,pf,qf,p0) mkl.cgb2(-1,af,bf,pf,qf,p0,"l") #Moment of order k moment.cgb2(0.5,af,bf,pf,qf,p0,p1) moment.cgb2(0.5,af,bf,pf,qf,p0,p1,"l") #Incomplete moment of order k incompl.cgb2(20000,1,af,bf,pf,qf,p0,p1) incompl.cgb2(20000,1,af,bf,pf,qf,p0,p1,"l") #}
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