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This function is returning the number of unit that we need such that some conditions are fulfilled. See Details
c_bound(pik)
An integer value, the number of units that we need to respect the constraints.
vector of the inclusion probabilities.
Raphael Jauslin raphael.jauslin@unine.ch
The function is computing the number of unit \(K\) that we need to add such that the following conditions are fulfilled :
\(\sum_{k = 1}^K \pi_k \geq 1\)
\(\sum_{k = 1}^K 1 - \pi_k \geq 1\)
Let \(c\) be the constant such that \(\sum_{k = 2}^K min(c\pi_k,1) = n \), we must have that \( \pi_1 \geq 1- 1/c\)
osod