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

Alina Jȩdrzejczak (), Dorota Pekasiewicz () and Wojciech Zieliński ()
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Alina Jȩdrzejczak: University of Łódź
Dorota Pekasiewicz: University of Łódź
Wojciech Zieliński: Warsaw University of Life Sciences

The Journal of Economic Inequality, 2023, vol. 21, issue 2, No 10, 499-509

Abstract: 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.

Keywords: Quantile ratio; Ratio of quintiles; The shortest confidence interval; Dagum distribution (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10888-022-09556-4

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