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Characterizations of independence between order statistics and rank indicators

This paper establishes a general framework for characterizing the independence between order statistics and their corresponding rank indicators for independent nonnegative random variables, utilizing reweighted probability measures to derive explicit expressions, distribution-free departure measures, and new characterizations of censoring mechanisms under proportional hazards and reversed hazards models.

Original authors: Roberto Vila, Frederico Almeida

Published 2026-08-07
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Original authors: Roberto Vila, Frederico Almeida

Original paper licensed under CC BY 4.0 (http://creativecommons.org/licenses/by/4.0/). This is an AI-generated explanation of the paper below. It is not written or endorsed by the authors. For technical accuracy, refer to the original paper. Read full disclaimer

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