Sankhya: The Indian Journal of Statistics

1998, Volume 60, Series B, Pt. 2, 331--348

ORDERING AND ASYMPTOTIC PROPERTIES OF RESIDUAL INCOME DISTRIBUTIONS

By

F. BELZUNCE , J. CANDEL and J.M. RUIZ University of Murcia, Spain

SUMMARY. In this paper we study the connection between new classes of distributions and the study of poverty and affluence of income distributions. Further it is shown that for these classes the upper and lower tails can be fitted by the Pareto and power models of distributions. We conclude with the estimation of inequality in the power model.

AMS (1991) subject classification.Primary 62E10, 62F10, secondary 62F99, 62P20.

Key words and phrases. Classes of distributions, orderings of distributions, left and right truncated distributions, inequality measures, power distribution, maximum likelihood estimators, convergence in distribution.

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