Point Process Approach to the Winner Problem

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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Publication Details

Journal
ArXiv.org
Published
2025-03-04
Primary Topic
Point processes and geometric inequalities
Type
article
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article

Point Process Approach to the Winner Problem

Vladimir Rotar, Youri Davydov
ArXiv.org
Point processes and geometric inequalities
article

Point Process Approach to the Winner Problem

Vladimir Rotar, Youri Davydov
article en

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.

ArXiv.org
Openalex Percentile: Top 59%
Point processes and geometric inequalities
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