On ordinary least-squares methods for sample surveys

DOI10.1016/0167-7152(94)90039-6zbMath0798.62019OpenAlexW2045214812MaRDI QIDQ1332888

Siu-Keung Tse, Shein-Chung Chow, Song-Gui Wang

Publication date: 13 October 1994

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(94)90039-6

zbMATH Keywords

polynomial approximationboundsleast-squares estimatorbest linear unbiased estimatorrelative efficiencysuperpopulation modeldesign matrixcovariance matricesfirst-order approximationtwo-stage samplingintracluster correlationordinary least-squarespredictors of population total

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Sampling theory, sample surveys (62D05)

Related Items (2)

Sensitivity analysis of SAR estimators: a numerical approximation ⋮ On the performance of the ordinary least squares method under an error component model.

Cites Work

• On the measures of multicollinearity in least squares regression
• On a separation theorem for generalized eigenvalues and a problem in the analysis of sample surveys
• A new bound for the Euclidean norm of the difference between the least squares and the best linear unbiased estimators
• Constrained Kantorovich inequalities and relative efficiency of least squares
• Matrix Analysis
• The inefficiency of least squares
• On the minimum efficiency of least squares
• Small Sample Properties of a Class of Two Stage Aitken Estimators
• The Effect of Two-Stage Sampling on the F Statistic
• The Effect of Two-Stage Sampling on Ordinary Least Squares Methods
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