Journal of Applied Mathematics and Decision Sciences
Volume 2007 (2007), Article ID 86180, 23 pages
doi:10.1155/2007/86180
Research Article
On the Semiparametric Efficiency of the Scott-Wild Estimator under Choice-Based and Two-Phase Sampling
Department of Statistics, University of Auckland, Auckland 1142, New Zealand
Received 30 April 2007; Accepted 8 August 2007
Recommended by Paul Cowpertwait
Abstract
Using a projection approach, we obtain an asymptotic information bound for estimates
of parameters in general regression models under choice-based and two-phase outcome-dependent
sampling. The asymptotic variances of the semiparametric estimates of Scott and Wild (1997, 2001) are
compared to these bounds and the estimates are found to be fully efficient.