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Simultaneous confidence regions for ranks

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  • Xiaoyi Ji
  • Rolf Larsson

Abstract

Consider a ranking list of stochastic quantities, such as success proportions of desease treatments at different hospitals. In Holm and Larsson (2024), a method to calculate a confidence interval for the position of one unit within the distribution of other units was proposed. This article extends this method to confidence regions for the positions of several units. Asymptotic normality is shown to hold. An empirical example is given, as well as a simulation study on small sample confidence levels.

Suggested Citation

  • Xiaoyi Ji & Rolf Larsson, 2025. "Simultaneous confidence regions for ranks," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 54(21), pages 6939-6949, November.
    • Handle: RePEc:taf:lstaxx:v:54:y:2025:i:21:p:6939-6949
    DOI: 10.1080/03610926.2025.2464084
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