Comparación de medidas de cambio de productividad. Las aproximaciones de Malmquist y Luenberger en una aplicación al mercado de seguros.

The objective of this paper is to present advances in productivity measures through index numbers and indicators, as well as to provide an example centered in the Argentinean insurance sector in recent years. The methodologies to estimate productivity changes by means of Malmquist Indexes and Luenberger Indicators are formally presented, and an empirical comparison is made to illustrate on their theoretical differences. In doing so, information of the insurance market in Argentina is used; the choice of the sector is not casual: its an atomized market, where regulation do not set output, and where it is also flexibility to modify the input mix. Of the results, we can conjecture that: 1) in samples where the variability of the efficiency is high, the approximate comparisons could be affected, and 2) between less efficient units it is hard to make comparisons between indicators.