Abstract
Abstract Data envelopment analysis (DEA) provides a method for determining the efficiency levels of a set of decision-making units, and this efficiency distribution has several stochastic aspects due to the random components in inputs and output. Two approaches are developed here to analyse the efficiency distribution. One is the index number approach and the other the entropy criterion of information theory. Their link to the DEA approach is illustrated by several examples. All the illustrative applications emphasize the practical usefulness of the two approaches: the index number and the entropy
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