A comparison of pivotal sampling and unequal probability sampling with replacement
classification
🧮 math.ST
stat.APstat.MEstat.TH
keywords
samplingestimatorpivotalcomparisonconservativeconsistencyefficiententails
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We prove that any implementation of pivotal sampling is more efficient than multinomial sampling. This property entails the weak consistency of the Horvitz-Thompson estimator and the existence of a conservative variance estimator. A small simulation study supports our findings.
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