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20122021
most citedCoupling methods for multistage sampling

47 citations · 54 across the 15 of their papers we have counts for

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8 papers · 1 filter

math.ST2020

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…

math.ST2019

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…

math.ST2018

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…

math.ST2016

A comparison of pivotal sampling and unequal probability sampling with replacement

Guillaume Chauvet, Anne Ruiz-Gazen

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 t…

math.ST2015★ 47 cited

Coupling methods for multistage sampling

Guillaume Chauvet

Multistage sampling is commonly used for household surveys when there exists no sampling frame, or when the population is scattered over a wide area. Multistage sampling usually in…

math.ST2015

Estimation under cross-classified sampling with application to a childhood survey

Hélène Juillard, Guillaume Chauvet, Anne Ruiz-Gazen

The cross-classified sampling design consists in drawing samples from a two-dimension population, independently in each dimension. Such design is commonly used in consumer price in…

math.ST2015

Martingale central-limit theorems for pivotal sampling

Guillaume Chauvet

Ordered pivotal sampling is one of the simplest algorithm to perform without-replacement unequal probability sampling. It has found uses in the context of longitudinal surveys and…

math.ST2012

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…