var_Tille: Tillé's Approximate Variance Estimator

In UPSvarApprox: Approximate the Variance of the Horvitz-Thompson Total Estimator

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 pik, indicating which units belong to the sample (TRUE if the unit is in the sample, FALSE otherwise. Only used with estimators of the third class (see Details for more information).
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

UPSvarApprox documentation built on Aug. 27, 2023, 9:06 a.m.