The mechanisms of network generation have undergone extensive analysis and found
broad applications in various real‐world scenarios. Among the fruitful literature on network …

In applied multivariate statistics, estimating the number of latent dimensions or the number of
clusters is a fundamental and recurring problem. One common diagnostic is the scree plot …

We consider a broad class of random bipartite networks, the distribution of which is invariant
under permutation within each type of nodes. We are interested in $ U $-statistics defined on …

We study the properties of two subsampling procedures for networks, vertex subsampling
and-subsampling, under the sparse graphon model. The consistency of network …

Bipartite networks with exchangeable nodes can be represented by row-column
exchangeable matrices. A quadruplet is a submatrix of size 2× 2. A quadruplet U-statistic is …

Both empirical and theoretical investigations of scale-free network models have found that
large degrees in a network exert an outsized impact on its structure. However, the tools used …

We consider $ U $-statistics on row-column exchangeable matrices. We derive a
decomposition for them, based on orthogonal projections on probability spaces generated …

The work presented in this thesis is essentially theoretical, but motivated by ecological
applications. Ecological interaction networks represent the functioning of an ecosystem …

Asymptotic analysis of statistical estimators related to MultiGraphex processes under
misspecification Page 1 Bernoulli 30(4), 2024, 2644–2675 https://doi.org/10.3150/23-BEJ1689 …

Networks are one of the basic structures to represent the relations between objects. There is
a lot of application of random networks in daily life, including social networks, evolution …