Sankhya: The Indian Journal of Statistics

1995, Volume 57, Series A, Pt. 3, pp. 375--383

ORDERING OF TRUNCATED DISTRIBUTIONS THROUGH CONCENTRATION CURVES

By

  F. BELZUNCE, J. CANDEL and J. M. RUIZ, Universidad de Murcia, Spain

SUMMARY.   In this paper we obtain some conditions in terms of the proportional failure rate and the elasticity of the distribution, to obtain ordering of left and right truncated distributions respectively by the partial ordering provided by the Lorenz and Zenga curves of concentration.

AMS (1980) subject classification.   Primary 62E10, secondary 60E10, 62P20.

Key words and phrases. Lorenz and Zenga curves, Gini and Zenga indexes, measures of inequality, left and right truncated distributions, starshaped ordering, Dagum model type I, Singh-Maddala model.

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This article in mathematical reviews.