Two-sample test of stochastic block models

Qianyong Wu and Jiang Hu

Computational Statistics & Data Analysis, 2024, vol. 192, issue C

Abstract: In this paper, we consider the problem of two-sample test of large networks with community structures. A test statistic is proposed based on the maximum entry of the difference between the two adjacency matrices. Asymptotic null distribution is derived, and the asymptotic power guarantee against the alternative hypothesis is provided. The simulations and real data examples show that the proposed test statistic performs well.

Keywords: Stochastic block model; Hypothesis testing; Network data; Gumbel distribution (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:192:y:2024:i:c:s0167947323002141

DOI: 10.1016/j.csda.2023.107903

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