A generalized Malmquist productivity index |
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Authors: | E Grifell-Tatjé C A K Lovell |
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Institution: | (1) Departament d'Economia, de l'Empresa, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain;(2) School of Economics Centre for Applied Economic Research, University of New South Wales, 2052 Sydney, Australia |
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Abstract: | In 1953 Sten Malmquist, a Swedish economist and statistician, published inTrabajos de Estadística the foundations of a productivity index which now bears his name. In this paper we generalize the Malmquist productivity index. We show that (i) the generalized Malmquist productivity index can be expressed as the product of a Malmquist productivity index and a Malmquist scale index; (ii) the generalized Malmquist productivity index can also be expressed as the ratio of a Malmquist output quantity index to a Malmquist input quantity index; (iii) the geometric mean of a pair of Malmquist scale indexes is equal to the reciprocal of the Törnqvist scale index, which implies that (iv) the geometric mean of a pair of generalized Malmquist productivity indexes is equal to a Törnqvist productivity index. |
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Keywords: | Malmquist productivity index T?rnqvist productivity index |
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