Alireza Bahari - Iran University of Science & Technology, Tehran, Iran

n this paper we apply the bootstrap estimator procedure to construct the confidence intervalfor global malmquist index of productivity and their decompositions.Caves et al. (1982) propose a malmquist productivity index that is not circular and assumeno technical inefficiency. Fare et al. (1992) extend the caves approach by relaxing theassumption of no technical inefficiency. Their model yet is not circular and can bedecompose into technology change and technical efficiency change.Pastor and Lovell (2005) propose a new productivity index that satisfies circularity andimmune to LP infeasibility that can occur in leaner programming when it uses to computeand decompose the malmquist indices.Let x e Randy e R denote the input and output vector respectively and we have t-1,2...,T time periods. The production possibilities set at time t is given by