Joint inclusion probabilities for Sampford sampling
Computes the joint (second-order) inclusion probabilities for Sampford sampling.
UPsampfordpi2(pik)
pik |
vector of the first-order inclusion probabilities. |
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.
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.
#define the prescribed inclusion probabilities pik=c(0.2,0.7,0.8,0.5,0.4,0.4) #matrix of the joint inclusion probabilities UPsampfordpi2(pik)
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