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The shortest confidence interval for the ratio of quantiles of the Dagum distribution

Author

Listed:
  • Alina Jȩdrzejczak

    (University of Łódź)

  • Dorota Pekasiewicz

    (University of Łódź)

  • Wojciech Zieliński

    (Warsaw University of Life Sciences)

Abstract

Jȩdrzejczak et al. (REVSTAT-Statistical Journal 19(1), 87–97, 2021) constructed a confidence interval for a ratio of quantiles coming from the Dagum distribution, which is frequently applied as a theoretical model in numerous income distribution analyses. The proposed interval is symmetric with respect to the ratio of sample quantiles, which result may be unsatisfactory in many practical applications. The search for a confidence interval with a smaller length resulted in the derivation of the shortest interval with the ends being asymmetric relative to the ratio of sample quantiles. In the paper, the existence of the shortest confidence interval is shown and the method of obtaining such an interval is presented. The results of the calculations show a reduction in the length of the proposed confidence interval by several percent compared to the symmetrical confidence interval.

Suggested Citation

  • Alina Jȩdrzejczak & Dorota Pekasiewicz & Wojciech Zieliński, 2023. "The shortest confidence interval for the ratio of quantiles of the Dagum distribution," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 21(2), pages 499-509, June.
    • Handle: RePEc:spr:joecin:v:21:y:2023:i:2:d:10.1007_s10888-022-09556-4
    DOI: 10.1007/s10888-022-09556-4
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    References listed on IDEAS

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    1. Czeslaw Domański & Alina Jedrzejczak, 2002. "Income inequality analysis in the period of economic transformation in poland," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 8(3), pages 215-220, August.
    2. Michał Brzeziński, 2013. "Parametric Modelling of Income Distribution in Central and Eastern Europe," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 5(3), pages 207-230, September.
    3. Filippo Domma & Sabrina Giordano & Mariangela Zenga, 2011. "Maximum likelihood estimation in Dagum distribution with censored samples," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(12), pages 2971-2985, March.
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