Abstract
The statistical literature contains several proposals for methods generating fixed-size without-replacement πps sampling designs. πps designs with fixed size have rarely been used due to difficulties with implementation. Recently, a new method was proposed viz. the 2Pπps design using a two-phase approach. It was shown that the first-order inclusion probabilities of the 2Pπps design are asymptotically equal to the target inclusion probabilities of a πps design.
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