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- W2892827107 abstract "We study the inhomogeneous Curie-Weiss model with external field, where the inhomogeneity is introduced by adding a positive weight to every vertex and letting the interaction strength between two vertices be proportional to the product of their weights. In this model, the sum of the spins obeys a central limit theorem outside the critical line. We derive a Berry-Esseen rate of convergence for this limit theorem using Stein's method for exchangeable pairs. For this, we, amongst others, need to generalize this method to a multidimensional setting with unbounded random variables." @default.
- W2892827107 created "2018-10-05" @default.
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- W2892827107 date "2020-02-01" @default.
- W2892827107 modified "2023-09-27" @default.
- W2892827107 title "Berry–Esseen bounds in the inhomogeneous Curie–Weiss model with external field" @default.
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- W2892827107 doi "https://doi.org/10.1016/j.spa.2019.02.007" @default.
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