Point Process Approach to the Winner Problem

Youri Davydov; Vladimir Rotar

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arXiv · 2503.02473

Point Process Approach to the Winner Problem

Youri Davydov·Vladimir Rotar

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Abstract

We consider a limit theorem for a triangular array of point processes generated by non-identically distributed random variables, and apply the result for the analysis of the limiting behavior of the Argmaximum of independent random variables, as well as for some step processes.

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Youri Davydov, Vladimir Rotar. 2025-03-04. Point Process Approach to the Winner Problem. https://arxiv.org/abs/2503.02473

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