Inference From Stratified Samples: Properties of the Linearization, Jackknife and Balanced Repeated Replication Methods Export

@article{citeulike:774883, abstract = {The asymptotic normality of both linear and nonlinear statistics and the consistency of the variance estimators obtained using the linearization, jackknife and balanced repeated replication (BRR) methods in stratified samples are established. The results are obtained as L → ∞ within the context of a sequence of finite populations {ΠL} with L strata in ΠL and are valid for any stratified multistage design in which the primary sampling units (psu's) are selected with replacement and in which independent subsamples are taken within those psu's selected more than once. In addition, some exact analytical results on the bias and stability of these alternative variance estimators in the case of ratio estimation are obtained for small L under a general linear regression model.}, author = {Krewski, D. and Rao, J. N. K.}, citeulike-article-id = {774883}, citeulike-linkout-0 = {http://dx.doi.org/10.2307/2240615}, citeulike-linkout-1 = {http://www.jstor.org/stable/2240615}, doi = {10.2307/2240615}, issn = {00905364}, journal = {The Annals of Statistics}, keywords = {brr, ce\_jsm09\_svy\_bstrap, resampling\_inference, sampling, stat9100svy, survey, survey\_resampling}, number = {5}, pages = {1010--1019}, posted-at = {2006-07-26 18:13:20}, priority = {3}, publisher = {Institute of Mathematical Statistics}, title = {Inference From Stratified Samples: Properties of the Linearization, Jackknife and Balanced Repeated Replication Methods}, url = {http://dx.doi.org/10.2307/2240615}, volume = {9}, year = {1981} }

TY - JOUR ID - citeulike:774883 L3 - citeulike-article-id:774883 N2 - The asymptotic normality of both linear and nonlinear statistics and the consistency of the variance estimators obtained using the linearization, jackknife and balanced repeated replication (BRR) methods in stratified samples are established. The results are obtained as L → ∞ within the context of a sequence of finite populations {ΠL} with L strata in ΠL and are valid for any stratified multistage design in which the primary sampling units (psu's) are selected with replacement and in which independent subsamples are taken within those psu's selected more than once. In addition, some exact analytical results on the bias and stability of these alternative variance estimators in the case of ratio estimation are obtained for small L under a general linear regression model. IS - 5 JF - The Annals of Statistics SN - 00905364 EP - 1019 TI - Inference From Stratified Samples: Properties of the Linearization, Jackknife and Balanced Repeated Replication Methods PB - Institute of Mathematical Statistics VL - 9 SP - 1010 KW - brr KW - ce_jsm09_svy_bstrap KW - resampling_inference KW - sampling KW - stat9100svy KW - survey KW - survey_resampling AU - Krewski, D AU - Rao, JNK PY - 1981/// UR - http://dx.doi.org/10.2307/2240615 ER -