×

zbMATH — the first resource for mathematics

Domains of study and poststratification. (English) Zbl 1094.62010
Summary: The authors [ibid. 102, 25–45 (2002; Zbl 0989.62009)] investigated conditions under which exact linear unbiased estimators of linear estimands, and also exact quadratic unbiased estimators of quadratic estimands, could be constructed under the randomisation approach. In this paper, the method is applied to domains of study and extended to poststratified estimators of finite population totals. The resulting estimators generalise some of those of D. C. Doss et al. [ibid. 3, 235–247 (1979; Zbl 0408.62007)]. Some further properties of these estimators are explored.

MSC:
62D05 Sampling theory, sample surveys
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Casady, R.J.; Valliant, R., Conditional properties of post-stratified estimators under normal theory, Survey meth., 9, 183-192, (1993)
[2] Doss, D.C.; Hsrtlcy, H.O.; Somayajulu, G.R., An exact small sample theory for post-stratification, J. statist. plann. inference, 3, 235-247, (1979) · Zbl 0408.62007
[3] Fuller, W.A., Estimation employing post strata, J. amer. statist. assoc., 61, 1172-1183, (1966)
[4] Godambe, V.P., A unified theory of sampling from finite populations, J. roy. statist. soc. B, 17, 269-278, (1955) · Zbl 0067.11406
[5] Holt, D.; Smith, T.M.F., Post stratification, J. roy. statist. soc. A, 142, 33-46, (1979)
[6] Rao, J.N.K., Conditional inference in survey sampling, Survey meth., 11, 15-31, (1985)
[7] Särndal, C.-E.; Swensson, B.; Wretman, J., Model assisted survey sampling, (1992), Springer New York · Zbl 0742.62008
[8] Smith, T.M.F., Post-stratification, The Statistician, 40, 315-323, (1991)
[9] Sugden, R.A.; Smith, T.M.F., Exact linear unbiased estimation in survey sampling, J. statist. plann. inference, 102, 25-38, (2002) · Zbl 0989.62009
[10] Zhang, L.C., Post-stratification and calibration—a synthesis, The amer. Statistician, 54, 178-184, (2000)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.