Se. Atkinson et C. Cornwell, ESTIMATING RADIAL MEASURES OF PRODUCTIVITY GROWTH - FRONTIER VS NON-FRONTIER APPROACHES, JOURNAL OF PRODUCTIVITY ANALYSIS, 10(1), 1998, pp. 35-46
In this paper, we propose an alternative econometric framework for est
imating and decomposing productivity change that does not require a di
stribution for inefficiency or the uncorrelatedness between inefficien
cy and the regressors, We develop our methodology for the input-orient
ed radial measure of productivity change and establish that this equal
s the negative of the time change in the log cost function. Our econom
etric framework is based on a fixed-effects, multiple-output cost fron
tier, where we decompose productivity change into discrete shifts in t
he frontier and changes in firm efficiency levels relative to the fron
tier. We also show that the standard non-frontier specification is nes
ted within our frontier model and thus can produce different estimates
of productivity change. Using a panel of twelve US railroads from 195
1 to 1975, our estimated cost frontier suggests average annual product
ivity growth of roughly 0.3 percent, with efficiency change rising the
n falling over the period. Specification tests reject the non-frontier
model, which yields smaller gains in productivity.