Functional central limit theorems for single-stage sampling designs

Boistard, Hélène, Lopuhaä, Rik and Ruiz-Gazen, Anne (2017) Functional central limit theorems for single-stage sampling designs. Annals of Statistics, vol.45 (n°4). pp. 1728-1758.

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Official URL: http://tse-fr.eu/pub/31342

Abstract

For a joint model-based and design-based inference, we establish functional central limit theorems for the Horvitz-Thompson empirical process and the Hàjek empirical process centered by their finite population mean as well as by their super-population mean in a survey sampling framework. The results apply to single-stage unequal probability sampling designs and essentially only require conditions on higher order correlations. We apply our main results to a Hadamard differentiable statistical functional and illustrate its limit behavior by means of a computer simulation.

Item Type: Article
Language: English
Date: August 2017
Refereed: Yes
Uncontrolled Keywords: design and model-based inference, Hàjek Process, Horvitz-Thompson process, rejective sampling, Poisson sampling, high entropy designs, poverty rate
Subjects: B- ECONOMIE ET FINANCE
Divisions: TSE-R (Toulouse)
Site: UT1
Date Deposited: 17 Jan 2017 13:52
Last Modified: 14 Mar 2018 10:31
OAI ID: oai:tse-fr.eu:31342
URI: http://publications.ut-capitole.fr/id/eprint/22744

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