Point Process Approach to the Winner Problem

2025/03/04 by Davydov, Youri, Rotar, Vladimir
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2503.02473

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.

Related

• The Distribution of Argmaximum or a Winner Problem
• Convergence of Point Processes with Weakly Dependent Points
• Extremes of geometric variables with applications to branching processes
• Explicit Conditions for the Convergence of Point Processes Associated to Stationary Arrays
• Extremal behavior of stationary marked point processes