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math.PR2023
Cumulant method for weighted random connection models
Nils Heerten, Christian Hirsch, Moritz Otto
In this paper, we derive cumulant bounds for subgraph counts and power-weighted edge length in a class of spatial random networks known as weighted random connection models. This i…
math.PR2023
Compound Poisson process approximation under -mixing and stabilization
Nicolas Chenavier, Moritz Otto
We establish Poisson and compound Poisson approximations for stabilizing statistics of -mixing point processes and give explicit rates of convergence. Our findings are based on…
math.PR2023
Normal approximation for Gibbs processes via disagreement couplings
Christian Hirsch, Moritz Otto, Anne Marie Svane
This work improves the existing central limit theorems (CLTs) for geometric functionals of Gibbs processes in three aspects. First, we derive a CLT for weakly stabilizing functiona…