sampling (version 2.10)

UPsampfordpi2: Joint inclusion probabilities for Sampford sampling

Description

Computes the joint (second-order) inclusion probabilities for Sampford sampling.

Usage

UPsampfordpi2(pik)

Value

Returns a NxN matrix of the following form: the main diagonal contains the first-order inclusion probabilities for each unit k in the population; elements (k,l) are the joint inclusion probabilities of units k and l, with k not equal to l. N is the population size.

Arguments

pik

vector of the first-order inclusion probabilities.

References

Sampford, M. (1967), On sampling without replacement with unequal probabilities of selection, Biometrika, 54:499-513.
Wu, C. (2004). R/S-PLUS Implementation of pseudo empirical likelihood methods under unequal probability sampling. Working paper 2004-07, Department of Statistics and Actuarial Science, University of Waterloo.

See Also

UPsampford

Examples

#define the prescribed inclusion probabilities
pik=c(0.2,0.7,0.8,0.5,0.4,0.4)
#matrix of joint inclusion probabilities
UPsampfordpi2(pik)