var_Tille {UPSvarApprox} | R Documentation |
Tillé's Approximate Variance Estimator
Description
Compute an approximate variance estimate using the estimator proposed by Tillé (1996). Estimator of class 3, it requires only first-order inclusion probabilities but for all population units.
Usage
var_Tille(y, pik, sample, maxIter = 1000, eps = 1e-05)
Arguments
y |
numeric vector of sample observations |
pik |
numeric vector of first-order inclusion probabilities for all population units |
sample |
Either a numeric vector of length equal to the sample size with
the indices of sample units, or a boolean vector of the same length of |
maxIter |
a scalar indicating the maximum number of iterations for the fixed-point procedure |
eps |
tolerance value for the convergence of the fixed-point procedure |
Value
a scalar, the estimated variance