Inference From Stratified Samples: Second-Order Analysis of Three Methods for Nonlinear Statistics Export

@article{citeulike:785133, abstract = {For stratified samples and nonlinear statistics that can be expressed as functions of estimated totals, second-order asymptotic expansions of the linearization, jackknife, and balanced repeated-replication variance estimators are obtained. Based on these, comparisons are made in terms of their biases. Some higher order asymptotic equivalence results are also established. The special case of a combined ratio estimator is investigated in detail. Some results on bias reduction achieved by the jackknife and balanced repeated-replication estimators of a nonlinear function of totals are also given.}, author = {Rao, J. N. K. and Wu, C. F. J.}, citeulike-article-id = {785133}, citeulike-linkout-0 = {http://www.jstor.org/stable/2288478}, journal = {Journal of the American Statistical Association}, keywords = {asymptotics, brr, ce\_jsm09\_svy\_bstrap, jackknife, resampling\_inference, sampling, stat9100svy, survey, survey\_resampling}, number = {391}, pages = {620--630}, posted-at = {2006-08-03 23:13:07}, priority = {4}, title = {Inference From Stratified Samples: Second-Order Analysis of Three Methods for Nonlinear Statistics}, url = {http://www.jstor.org/stable/2288478}, volume = {80}, year = {1985} }

TY - JOUR ID - citeulike:785133 L3 - citeulike-article-id:785133 N2 - For stratified samples and nonlinear statistics that can be expressed as functions of estimated totals, second-order asymptotic expansions of the linearization, jackknife, and balanced repeated-replication variance estimators are obtained. Based on these, comparisons are made in terms of their biases. Some higher order asymptotic equivalence results are also established. The special case of a combined ratio estimator is investigated in detail. Some results on bias reduction achieved by the jackknife and balanced repeated-replication estimators of a nonlinear function of totals are also given. IS - 391 JF - Journal of the American Statistical Association EP - 630 TI - Inference From Stratified Samples: Second-Order Analysis of Three Methods for Nonlinear Statistics VL - 80 SP - 620 KW - asymptotics KW - brr KW - ce_jsm09_svy_bstrap KW - jackknife KW - resampling_inference KW - sampling KW - stat9100svy KW - survey KW - survey_resampling AU - Rao, JNK AU - Wu, CFJ PY - 1985/// UR - http://www.jstor.org/stable/2288478 ER -