4 papers · 1 filter
Exponential inequalities for sampling designs
Guillaume Chauvet, Mathieu Gerber
In this work we introduce a general approach, based on the mar-tingale representation of a sampling design and Azuma-Hoeffding's inequality , to derive exponential inequalities for…
Properties of Chromy's sampling procedure
Guillaume Chauvet
Chromy (1979) proposed a unequal probability sampling algorithm, which enables to select a sample in one pass of the sampling frame only. This is the default sequential method used…
Large sample properties of the Midzuno sampling scheme with probabilities proportional to size
Guillaume Chauvet
Midzuno sampling enables to estimate ratios unbiasedly. We prove the asymptotic normality for estimators of totals and ratios under Midzuno sampling. We also propose consistent var…
On a characterization of ordered pivotal sampling
Guillaume Chauvet
When auxiliary information is available at the design stage, samples may be selected by means of balanced sampling. Deville and Tille proposed in 2004 a general algorithm to perfor…