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- W4287257424 abstract "Bipartite networks with exchangeable nodes can be represented by row-column exchangeable matrices. A quadruplet is a submatrix of size $2 times 2$. A quadruplet $U$-statistic is the average of a function on a quadruplet over all the quadruplets of a matrix. We prove several asymptotic results for quadruplet $U$-statistics on row-column exchangeable matrices, including a weak convergence result in the general case and a central limit theorem when the matrix is also dissociated. These results are applied to statistical inference in network analysis. We suggest a method to perform parameter estimation, network comparison and motifs count for a particular family of row-column exchangeable network models: the bipartite expected degree distribution (BEDD) models. These applications are illustrated by simulations." @default.
- W4287257424 created "2022-07-25" @default.
- W4287257424 creator A5072676306 @default.
- W4287257424 date "2021-03-23" @default.
- W4287257424 modified "2023-09-30" @default.
- W4287257424 title "$U$-statistics on bipartite exchangeable networks" @default.
- W4287257424 doi "https://doi.org/10.48550/arxiv.2103.12597" @default.
- W4287257424 hasPublicationYear "2021" @default.
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