VH_mean: Volz-Heckathorn estimation of the mean

Description Usage Arguments Details Value References

Description

Volz-Heckathorn estimation of the population mean using the given sequence of the vertices.

Usage

1
VH_mean(chain, trait.vec, inclusion.probability)

Arguments

chain

a sequence of node indices that represent the referral process.

trait.vec

is a vector of size number of nodes in the network with 0-1 values that for example indicate a specific trait.

inclusion.probability

is a vector of size number of nodes in the network with the corresponding stationary probabilities.

Details

Let x_1, x_2, \cdots, x_n be a sequence of samples from a finite population. Furthermore, let \pi_1, \cdots, \pi_N denote the stationary distribution. Then \mu_VH = 1/(\sum_i=1^n 1/\pi_x_i) \sum_i=1^n x_i/\pi_x_i.

Value

the Volz-Heckathorn estimation of the population mean.

References

Volz, Erik and Heckathorn, Douglas D (2008); “Probability based estimation theory for respondent driven sampling”, Journal of official statistics.


khabbazian/rdssim documentation built on May 20, 2019, 9:22 a.m.