Open Access

A Procedure for Estimating the Variance of the Population Mean in Rejective Sampling


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Chauvet, G., D. Haziza, and E. Lesage. 2017. “Examining Some Aspects of Balanced Sampling in Surveys.” Statistica Sinica 27: 313–334. DOI: http://dx.doi.org/10.5705/ss.2013.244.10.5705/ss.2013.244Search in Google Scholar

Deville, J.-C. and C.E. Särndal. 1992. “Calibration estimators in survey sampling.” Journal of the American Statistical Association 87: 376–382. DOI: http://doi.org/10.2307/2290268.10.1080/01621459.1992.10475217Search in Google Scholar

Deville, J.-C. and Y. Tillé. 2004. “Efficient balanced sampling: The cube method.” Biometrika 91: 893–912. DOI: http://doi.org/10.1093/biomet/91.4.893.10.1093/biomet/91.4.893Search in Google Scholar

Deville, J.-C. and Y. Tillé. 2005. “Variance approximation under balanced sampling.” Journal of statistical planning and inference 128: 569–591. DOI: https://doi.org/10.1016/j.jspi.2003.11.011.10.1016/j.jspi.2003.11.011Search in Google Scholar

Fuller, W.A. 2009. “Some design properties of a rejective sampling procedure.” Biometrika 96: 933–944. DOI: https://doi.org/10.1093/biomet/asp042.10.1093/biomet/asp042Search in Google Scholar

Fuller, W.A., J.C. Legg, and Y. Li. 2017. “Bootstrap variance estimation for rejective sampling.” Journal of the American Statistical Association 112: 1562–1570. DOI: https://doi.org/10.1080/01621459.2016.1222285.10.1080/01621459.2016.1222285Search in Google Scholar

Hájek, J. 1964. “Asymptotic theory of rejective sampling with varying probabilities from a finite population.” Ann. Math. Statist. 35: 1491–1523. DOI: https://doi.org/10.1214/aoms/1177700375.10.1214/aoms/1177700375Search in Google Scholar

Hájek, J. 1981. Sampling from a finite population. Statistics: Textbooks and Monographs 37. New York: Marcel Dekker Inc.Search in Google Scholar

Horvitz, D.G. and D.J. Thompson. 1952. “A generalization of sampling without replacement from a finite universe.” Journal of the American Statistical Association 47: 663–685. DOI: https://doi.org/10.2307/2280784.10.2307/2280784Search in Google Scholar

Huang, E.T. and W.A. Fuller. 1978. “Nonnegative regression estimation for sample survey data.” Proceedings of the Social Statistics Section, American Statistical Association. Alexandria, VA, 300–305. Available at: https://lib.dr.iastate.edu/rtd/6460 (accessed February 2020).Search in Google Scholar

Legg, J.C. and C.L. Yu. 2010. “A comparison of sample set restriction procedures.” Survey Methodology 36: 69–79. Available at: https://www150.statcan.gc.ca/n1/en/catalogue/12-001-X201000111249 (accessed February 2020).Search in Google Scholar

Matei, A. and Y. Tillé. 2005. “Evaluation of variance approximations and estimators in maximum entropy sampling with unequal probability and fixed sample size.” Journal of Official Statistics 21(4): 543–570. Available at: https://www.scb.se/contentassets/ca21efb41fee47d293bbee5bf7be7fb3/evaluation-of-variance-approximations-and-estimators-in-maximum-entropy-sampling-with-unequal-probability-and-fixed-sample-size.pdf (accessed February 2020).Search in Google Scholar

Särndal, C.-E., B. Swenson, and J. Wretman. 1992. Model Assisted Survey Sampling. New York: Springer-Verlag.10.1007/978-1-4612-4378-6Search in Google Scholar

eISSN:
2001-7367
Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Mathematics, Probability and Statistics