Joint inclusion probabilties for Tille sampling
Computes the joint (second-order) inclusion probabilities for Tillé sampling.
UPtillepi2(pik,eps=1e-6)
pik |
vector of the first-order inclusion probabilities. |
eps |
the control value, by default equal to 1e-6. |
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. The value eps is used to
control pik (pik>eps & pik < 1-eps).
Tillé, Y. (1996), An elimination procedure of unequal probability sampling without replacement, Biometrika, 83:238-241.
#defines the prescribed inclusion probabilities pik=c(0.2,0.7,0.8,0.5,0.4,0.4) pik_joint=UPtillepi2(pik) #the joint inclusion probabilities pik_joint
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