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arXiv · 1704.00410

Kolmogorov bounds for the normal approximation of the number of triangles in the Erdos-Renyi random graph

Adrian Röllin
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Abstract

We bound the error for the normal approximation of the number of triangles in the Erdos-Renyi random graph with respect to the Kolmogorov metric. Our bounds match the best available Wasserstein-bounds obtained by Barbour, Karonski and Rucinski (1989), resolving a long-standing open problem. The proofs are based on a new variant of the Stein-Tikhomirov method - a combination of Stein's method and characteristic functions introduced by Tikhomirov (1980).

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Adrian Röllin. 2017-04-03. Kolmogorov bounds for the normal approximation of the number of triangles in the Erdos-Renyi random graph. https://arxiv.org/abs/1704.00410

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