This paper demonstrates an econometric estimation of substitution elas
ticities of a nested constant elasticity of substitution production fu
nction (CES) between capital, energy and labour for the West German in
dustry. In the last few years CES production functions have become mor
e important in economic modelling, especially for applied general equi
librium models where CES production functions are an important buildin
g stone. In the literature, different results of estimated elasticitie
s can be found. This paper investigates three different approaches for
nested CES production functions and their estimated substitution elas
ticities. Capital, energy and labour are estimated as substitutes for
the West German industry in the long run. (C) 1998 Elsevier Science B.
V.