Title
Minimum MSE regression estimator with estimated population quantities of auxiliary variables
Abstract
Construction of a regression estimator in which the population means of auxiliary variables are estimated with a larger sample is considered. Using the variances of the estimated population means, and the correlation between auxiliary variables and the variable of interest, a design consistent regression estimator that has minimum model mean squared error under a working model is derived. A limited simulation study shows that the minimum model mean squared error regression estimator performs well compared to the generalized least squares regression estimator, even when the working model is inappropriate.
Year
DOI
Venue
2008
10.1016/j.csda.2008.08.003
Computational Statistics & Data Analysis
Keywords
Field
DocType
estimated population,error regression estimator,squares regression estimator,limited simulation study,estimated population quantity,minimum mse regression estimator,auxiliary variable,regression estimator,minimum model,larger sample,design consistent regression estimator,working model,generalized least squares,mean square error
Econometrics,Efficient estimator,Minimum-variance unbiased estimator,James–Stein estimator,Newey–West estimator,Mean squared error,Bias of an estimator,Statistics,Mathematics,Estimator,Consistent estimator
Journal
Volume
Issue
ISSN
53
2
Computational Statistics and Data Analysis
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Mingue Park111.11
Hyungjun Cho21048.44