Local limit theorems via Landau-Kolmogorov inequalities

In this article, we prove new inequalities between some common probability metrics. Using these inequalities, we obtain novel local limit theorems for the magnetization in the Curie-Weiss model at high temperature, the number of triangles and isolated vertices in Erdõs-Rényi random graphs, as well a...

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Veröffentlicht in:	Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability 2015-05, Vol.21 (2), p.851-880
Hauptverfasser:	RÖLLIN, ADRIAN, ROSS, NATHAN
Format:	Artikel
Sprache:	eng
Schlagworte:	Curie–Weiss model Erdős–Rényi random graph Kolmogorov metric Landau–Kolmogorov inequalities local limit metric total variation metric Wasserstein metric
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