Normal approximation of subgraph counts in the random-connection model
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Publication:6589590
DOI10.3150/23-BEJ1712MaRDI QIDQ6589590
Publication date: 20 August 2024
Published in: Bernoulli (Search for Journal in Brave)
random graphsKolmogorov distancePoisson point processnormal approximationcumulant methodsubgraph countrandom-connection model
Central limit and other weak theorems (60F05) Random graphs (graph-theoretic aspects) (05C80) Combinatorial probability (60C05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Cites Work
- Title not available (Why is that?)
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- Normal approximation of Poisson functionals in Kolmogorov distance
- Moderate deviations via cumulants
- Normal approximation on Poisson spaces: Mehler's formula, second order Poincaré inequalities and stabilization
- Berry-Esseen bounds and Cramér-type large deviations for the volume distribution of Poisson cylinder processes
- On connected diagrams and cumulants of Erdős-Rényi matrix models
- Wiener chaos: Moments, cumulants and diagrams. A survey with computer implementation
- An almost-Markov-type mixing condition and large deviations for Boolean models on the line
- The asymptotic number of irreducible partitions
- When are small subgraphs of a random graph normally distributed?
- Normal convergence by higher semi-invariants with applications to sums of dependent random variables and random graphs
- A central limit theorem for decomposable random variables with applications to random graphs
- Concentration for Poisson \(U\)-statistics: subgraph counts in random geometric graphs
- Gaussian polytopes: a cumulant-based approach
- Concentration and moderate deviations for Poisson polytopes and polyhedra
- Normal approximation for stabilizing functionals
- Central limit theorems for some graphs in computational geometry.
- The volume of simplices in high-dimensional Poisson-Delaunay tessellations
- Berry-Esseen bounds for generalized \(U\)-statistics
- Random connection models in the thermodynamic regime: central limit theorems for add-one cost stabilizing functionals
- The method of cumulants for the normal approximation
- Berry-Esseen bounds for functionals of independent random variables
- The random connection model and functions of edge-marked Poisson processes: second order properties and normal approximation
- Normal approximation for sums of weighted \(U\)-statistics -- application to Kolmogorov bounds in random subgraph counting
- Discrete Malliavin-Stein method: Berry-Esseen bounds for random graphs and percolation
- Central limit theorems for \(U\)-statistics of Poisson point processes
- Fine Gaussian fluctuations on the Poisson space. II: Rescaled kernels, marked processes and geometric \(U\)-statistics
- New Berry-Esseen bounds for non-linear functionals of Poisson random measures
- Mod-ϕ Convergence
- Lévy Systems and Moment Formulas for Mixed Poisson Integrals
- Random Geometric Graphs
- Moments of Poisson stochastic integrals with random integrands
- KOLMOGOROV BOUNDS FOR THE NORMAL APPROXIMATION OF THE NUMBER OF TRIANGLES IN THE ERDŐS–RÉNYI RANDOM GRAPH
- Cluster Expansions for GIBBS Point Processes
- Moments of k-hop counts in the random-connection model
- Lectures on the Poisson Process
- Random Graphs
- [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
- A textbook of graph theory
- Cumulants on Wiener chaos: moderate deviations and the fourth moment theorem
- U-Statistics in Stochastic Geometry
- Kolmogorov bounds for decomposable random variables and subgraph counting by the Stein-Tikhomirov method
Related Items (2)
Moderate deviations on Poisson chaos ⋮ Asymptotic analysis of \(k\)-hop connectivity in the 1D unit disk random graph model
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