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Edgeworth expansions for two-stage sampling with applications to stratified and cluster sampling
Umeå University, Faculty of Social Sciences, Umeå School of Business and Economics (USBE), Statistics.
2015 (English)In: Canadian Journal of Statistics, ISSN 1708-945X, Vol. 43, no 4, 578-599 p.Article in journal (Refereed) Published
Abstract [en]

A two-term Edgeworth expansion for the standardized version of the sample total in a two-stagesampling design is derived. In particular, for the commonly used stratified and cluster sampling schemes,formal two-term asymptotic expansions are obtained for the Studentized versions of the sample total. Theseresults are applied in conjunction with the bootstrap to construct more accurate confidence intervals for theunknown population total in such sampling schemes.

Abstract [fr]

Les auteurs pr´esentent un d´eveloppement en deux termes d’une s´erie d’Edgeworth pour l’estimateurdu total bas´e sur un plan ´echantillonnal `a deux phases. Ils obtiennent en particulier des d´eveloppementsasymptotiques formels pour la version studentis´ee du total ´echantillonnal bas´e sur un ´echantillonnage stratifi´eet sur un ´echantillonnage en grappes. Les auteurs utilisent ces r´esultats et des m´ethodes de r´e´echantillonnageafin de construire des intervalles de confiance plus pr´ecis pour le total de la population dans le contexte deces plans d’´echantillonnage.

Place, publisher, year, edition, pages
2015. Vol. 43, no 4, 578-599 p.
Keyword [en]
Bootstrap; cluster sampling; confidence interval; Edgeworth expansion; simple random sampling; stratified sampling; two-stage sampling.
National Category
Other Social Sciences
Research subject
URN: urn:nbn:se:umu:diva-111900DOI: 10.1002/cjs.11266OAI: diva2:873947
Statistical methods for ecological research on data from national monitoring programs. Funded by the Swedish Research Council. Grant Number 340-2013-5076.
Swedish Research Council, 340-2013-5076
Available from: 2015-11-25 Created: 2015-11-25 Last updated: 2015-12-22Bibliographically approved

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