Generalized Malmquist Productivity Index

E. Grifell-Tatjé, C.A.K. Lovell

    Research output: Contribution to journalArticleResearch

    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.
    Original languageSpanish
    Pages (from-to)81-101
    JournalTOP. A Journal of the Spanish and Operations Research Society
    Volume7
    Issue number1
    DOIs
    Publication statusPublished - 1 Jan 1998

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