Thomas Lumley 7/9/2017

Probabilities not bounded away from zero

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This article explores statistical asymptotics in stratified sampling where sampling probabilities are not bounded away from zero, a scenario common in case-control studies of rare diseases. It details the derivation of central limit theorems for stratum totals and the combination of these into a normal approximation for population estimates, using formal mathematical notation and assumptions.

Probabilities not bounded away from zero

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