The weak Pareto law and regular variation in the tails

Walter Krämer; Thorsten Ziebach

doi:10.6092/issn.1973-2201/54

The weak Pareto law and regular variation in the tails

Authors

Walter Krämer Universität Dortmund
Fachbereich Statistik
Thorsten Ziebach Universität Dortmund
Fachbereich Statistik

DOI:

https://doi.org/10.6092/issn.1973-2201/54

Abstract

We show that the weak Pareto law, as used to characterize the tail behaviour of income distributions, implies regularly varying tail probabilities, but that the reverse implication does not hold. We also establish implications among other versions of the weak Pareto law.

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How to Cite

Krämer, W., & Ziebach, T. (2004). The weak Pareto law and regular variation in the tails. Statistica, 64(3), 505–510. https://doi.org/10.6092/issn.1973-2201/54