This paper considers the estimation of frontier production functions i
n panel data models. It proposes a multi-stage method to obtain estima
tes of (1) the parameters of a flexible input requirement function and
(2) technical inefficiency decomposed into time-invariant (firm-speci
fic), time-varying, and the residual components. The proposed method i
s used to analyse labour-use efficiency of Swedish local social insura
nce offices on the basis of a large panel of observations during the t
ime period 1974-84. Empirical results show: (1) substantial variations
in labour-use efficiency among these offices, with the mean efficienc
ies declining over time; (2) presence of economies of scale, thereby m
eaning that most of the offices were of suboptimal size.