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Graphical representations and associated goodness-of-fit tests for Pareto and log-normal distributions based on inequality curves

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  • Emanuele Taufer
  • Flavio Santi
  • Giuseppe Espa
  • Maria Michela Dickson

Abstract

The Pareto and the Log-normal distributions can be characterised by having constant inequality curves. After providing formal proofs, these results will be exploited to obtain graphical and analytical tools for analysis and goodness-of-fit tests for these distributions. Order-statistics-based estimators of the curves will be presented and discussed. Examples with simulated and real-data will be used to show how the tools presented work in practice.

Suggested Citation

  • Emanuele Taufer & Flavio Santi & Giuseppe Espa & Maria Michela Dickson, 2021. "Graphical representations and associated goodness-of-fit tests for Pareto and log-normal distributions based on inequality curves," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 33(3-4), pages 464-481, October.
    • Handle: RePEc:taf:gnstxx:v:33:y:2021:i:3-4:p:464-481
    DOI: 10.1080/10485252.2021.1977300
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    Cited by:

    1. L. Ndwandwe & J. S. Allison & L. Santana & I. J. H. Visagie, 2023. "Testing for the Pareto type I distribution: a comparative study," METRON, Springer;Sapienza Università di Roma, vol. 81(2), pages 215-256, August.

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