Hajekestimator: The Hajek estimator

In sampling: Survey Sampling

The Hajek estimator

Description

Computes the Hájek estimator of the population total or population mean.

Usage

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

# Belgian municipalities data 
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")

sampling documentation built on Nov. 2, 2023, 6:26 p.m.