c_bound: C bound
In RJauslin/StratifiedSampling: Different Methods for Stratified Sampling

c_bound

R Documentation

C bound

This function is returning the number of unit that we need such that some conditions are fulfilled. See Details

c_bound(pik)

pik

vector of the inclusion probabilities.

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

An integer value, the number of units that we need to respect the constraints.