tille

Draw a sample by means of Tillé's elimination procedure

internal

Approximate joint-inclusion probabilities in Unequal Probability Sampling, or compute Monte Carlo approximations of the first and second-order inclusion probabilities of a general sampling design as in Fattorini (2006) <doi:10.1093/biomet/93.2.269>.

Roberto Sichera

jipApprox

Approximate Inclusion Probabilities for Survey Sampling

tille function

<dl><dt>pik</dt>
<dd>vector of first-order inclusion probabilities</dd>
<dt>n</dt>
<dd>sample size (excluding self-selecting units)</dd>
<dt>N</dt>
<dd>population size (excluding self-selecting units)</dd>
<dt>s</dt>
<dd>vector of length N, with 1s at the positions of self-selecting units</dd>
<dt>list</dt>
<dd>vector with positions of self selcting units</dd>
<dt>pmat</dt>
<dd>matrix of dimension $(N-n)xN, where each row has elimination probabilities
for population units for one step of the procedure.</dd></dl>

Arguments

Tillé's elimination procedure — tille

<dl>

<dt>pik</dt>
<dd>vector of first-order inclusion probabilities</dd>


<dt>n</dt>
<dd>sample size (excluding self-selecting units)</dd>


<dt>N</dt>
<dd>population size (excluding self-selecting units)</dd>


<dt>s</dt>
<dd>vector of length N, with 1s at the positions of self-selecting units</dd>


<dt>list</dt>
<dd>vector with positions of self selcting units</dd>


<dt>pmat</dt>
<dd>matrix of dimension $(N-n)xN, where each row has elimination probabilities
for population units for one step of the procedure.</dd>

</dl>

tille: Tillé's elimination procedure

Description

Usage

Arguments