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math.PR2020★ 1 cited
Interval Type Local Limit Theorems for Lattice Type Random Variables and Distributions
Michael Fleermann, Werner Kirsch, Gabor Toth
In this paper, we propose a new interpretation of local limit theorems for univariate and multivariate distributions on lattices. We show that - given a local limit theorem in the…
math.PR2020★ 6 cited
Local Central Limit Theorem for Multi-Group Curie-Weiss Models
Michael Fleermann, Werner Kirsch, Gabor Toth
We define a multi-group version of the mean-field spin model, also called Curie-Weiss model. It is known that, in the high temperature regime of this model, a central limit theorem…