c_bound {StratifiedSampling} | R Documentation |
C bound
Description
This function is returning the number of unit that we need such that some conditions are fulfilled. See Details
Usage
c_bound(pik)
Arguments
pik |
vector of the inclusion probabilities. |
Details
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
Value
An integer value, the number of units that we need to respect the constraints.
See Also
[Package StratifiedSampling version 0.4.2 Index]