The Hajek estimator

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Description

Computes the H<e1>jek estimator of the population total or population mean.

Usage

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Hajekestimator(y,pik,N=NULL,type=c("total","mean"))

Arguments

y

vector of the variable of interest; its length is equal to n, the sample size.

pik

vector of the first-order inclusion probabilities; its length is equal to n, the sample size.

N

population size; N is only used for the total estimator; for the mean estimator its value is NULL.

type

the estimator type: total or mean.

See Also

HTestimator

Examples

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# Belgian municipalities data base
data(belgianmunicipalities)
# Computes the inclusion probabilities
pik=inclusionprobabilities(belgianmunicipalities$Tot04,200)
N=length(pik)
n=sum(pik)
# Defines the variable of interest
y=belgianmunicipalities$TaxableIncome
# Draws a Poisson sample of expected size 200
s=UPpoisson(pik)
# Computes the Hajek estimator of the population mean
Hajekestimator(y[s==1],pik[s==1],type="mean")
# Computes the Hajek estimator of the population total
Hajekestimator(y[s==1],pik[s==1],N=N,type="total")

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