Edgeworth expansions for two‐stage sampling with applications to stratified and cluster sampling
Copyright policy )Edgeworth expansions for two‐stage sampling with applications to stratified and cluster sampling
AbstractA 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 theStudentizedversions 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 Statistics43: 578–599; 2015 © 2015 The Authors. The Canadian Journal of Statistics published by Wiley Periodicals, Inc. on behalf of Statistical Society of Canada
- Umeå University Sweden
- University of California United States
- National University of Uzbekistan Uzbekistan
- University of California, Santa Barbara United States
Asymptotic distribution theory in statistics, Statistics & Probability, Statistics, stratified sampling, two-stage sampling, Bootstrap, Bootstrap; cluster sampling; confidence interval; Edgeworth expansion; simple random sampling; stratified sampling; two-stage sampling., simple random sampling, Edgeworth expansion, cluster sampling, confidence interval, Sampling theory, sample surveys, Sannolikhetsteori och statistik, Econometrics, Probability Theory and Statistics, bootstrap
Asymptotic distribution theory in statistics, Statistics & Probability, Statistics, stratified sampling, two-stage sampling, Bootstrap, Bootstrap; cluster sampling; confidence interval; Edgeworth expansion; simple random sampling; stratified sampling; two-stage sampling., simple random sampling, Edgeworth expansion, cluster sampling, confidence interval, Sampling theory, sample surveys, Sannolikhetsteori och statistik, Econometrics, Probability Theory and Statistics, bootstrap
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