Article

Edgeworth expansions for two‐stage sampling with applications to stratified and cluster sampling

Sherzod M. MirakhmedovDepartment of Probability and Statistics, Institute of Mathematics, National University of Uzbekistan, Tashkent, UzbekistanS. Rao JammalamadakaDepartment of Statistics and Applied Probability, University of California, Santa Barbara, U.S.AMagnus EkströmDepartment of Statistics, Umeå University, Umeå, Sweden

Canadian Journal of Statisticsjournal2015en

ABI

Abstract

Abstract A two‐term Edgeworth expansion for the standardized version of the sample total in a two‐stage sampling 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. These results are applied in conjunction with the bootstrap to construct more accurate confidence intervals for the unknown population total in such sampling schemes. The Canadian Journal of Statistics 43: 578–599; 2015 © 2015 The Authors. The Canadian Journal of Statistics published by Wiley Periodicals, Inc. on behalf of Statistical Society of Canada

Topics

Survey Sampling and Estimation Techniques Statistical Methods and Bayesian Inference Bayesian Methods and Mixture Models

Identifiers

DOI: 10.1002/cjs.11266

Citations and references

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