The iterated bootstrap may be used to estimate errors which arise from
a single pass of the bootstrap and thereby to correct for them. Here
the iteration is employed to correct for coverage probability of confi
dence intervals obtained by a percentile method in the context of prod
uction frontier estimation with panel data. The parameter of interest
is the maximum of the intercepts in a fixed firm effect model. The boo
tstrap distribution estimators are consistent if and only if there are
no ties for this maximum. In the regular case (no ties), poor distrib
ution estimators can result when the second largest intercept is close
to the maximum. The iterated bootstrap is thus suggested to improve t
he accuracy of the obtained distributions. The result is illustrated i
n the analysis of labor efficiency of railway companies.