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Comparison of higher degree stop-loss transforms

Idir Arab, Paulo Eduardo Oliveira and Beatriz Santos

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 21, 7642-7650

Abstract: We regard high degree stop-loss transforms as iterated equilibrium distributions to establish comparison criteria with respect to star-shape and convex transform orders. As an application, we derive monotonicity properties for exceedance probabilities, providing information on how likely these distributions are to be far from the extreme values of their support.

Date: 2024
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DOI: 10.1080/03610926.2023.2269453

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