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On a Method of Computing Engel Elasticities from Concentration Curves

Econometrica 1960 28(4), 882
THIS PAPER PRESENTS, on the assumption of lognormality, a simple graphical method of deriving the Engel elasticities for various items of consumer expenditure from what are known as concentration curves. Usually two types of such curves are distinguished: (a) the Lorenz curve which relates the proportion of total expenditure to the proportion of persons spending up to a given level of total expenditure per capita, and (b) the specific concentration curve which relates the proportion of total consumption of a specific commodity to the proportion of persons spending up to a given level of total expenditure per capita. We shall briefly indicate a method of using these curves to calculate the Engel elasticities and shall present some numerical results for a few important items of consumers' expenditure. These estimates are compared with other estimates obtained by the conventional method of least squares, which requires additional computations.