We investigate efficient estimation when sample is drawn from several
heterogenous groups. GLS adjusting inter-group heteroskedasticity is o
ften used in this circumstance. But, the error variances conditional o
n the regressors could be different within each group. Focusing on thi
s two tier heteroskedasticity problem, we propose an estimator that is
asymptotically identical to GLS when no conditional heteroskedasticit
y is present, and otherwise more efficient. (C) 1998 Elsevier Science
S.A.