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math.PR2024
The Erdős-Rényi Random Graph Conditioned on Every Component Being a Clique
Martijn Gösgens, Lukas Lüchtrath, Elena Magnanini +2
Motivated by an application in community detection, we consider an \ER random graph conditioned on the rare event that all connected components are fully connected. Such graphs can…
math.PR2021
Limit Distribution of Two Skellam Distributions, Conditionally on Their Equality
François Durand, Élie de Panafieu
Consider two random variables following Skellam distributions of parameters going to infinity linearly. We prove that the limit distribution of the first variable, conditionally on…