Limit theorems for distributions invariant under groups of transformations
DOI10.1214/21-AOS2165WikidataQ113751978 ScholiaQ113751978MaRDI QIDQ2091824
Publication date: 2 November 2022
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.10661
symmetryasymptotic normalityergodicityStein's methodexchangeabilitycentral limit theoremsBerry-Esseen theoremspointwise ergodic theorems
Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Exchangeability for stochastic processes (60G09)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Second-order properties and central limit theorems for geometric functionals of Boolean models
- Spin glass models from the point of view of spin distributions
- Fundamentals of Stein's method
- Oracle inequalities for network models and sparse graphon estimation
- Gibbs measures and phase transitions.
- The method of moments and degree distributions for network models
- Limits of dense graph sequences
- Convergent sequences of dense graphs. I: Subgraph frequencies, metric properties and testing
- Basic properties of strong mixing conditions. A survey and some open questions
- On the central limit theorem for stationary mixing random fields
- The logarithmic Sobolev inequality for discrete spin systems on a lattice
- Multivariate sampling and the estimation problem for exchangeable arrays
- Pointwise theorems for amenable groups.
- Geometric group theory. An introduction
- Gaussian limits for random measures in geometric probability
- On asymptotic normality of pseudo likelihood estimates for pairwise interaction processes
- Empirical process results for exchangeable arrays
- Sampling and estimation for (sparse) exchangeable graphs
- Gaussian limits for random geometric measures
- Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
- Concentration Inequalities
- Stochastic blockmodels with a growing number of classes
- Approximation Theorems of Mathematical Statistics
- Complexity and randomness in the Heisenberg groups (and beyond)
- Posterior Analysis for Normalized Random Measures with Independent Increments
- Graph limits and exchangeable random graphs
- Amenability: A survey for statistical applications of hunt-stein and related conditions on groups
- Integral Representations of Invariant Measures
- Limit theorems for weakly exchangeable arrays
- Sparse exchangeable graphs and their limits via graphon processes
- Sparse Graphs Using Exchangeable Random Measures
- New Consistent and Asymptotically Normal Parameter Estimates for Random-Graph Mixture Models
- Central limit theorem for a class of random measures associated with germ-grain models
- Groups of Automorphisms of Borel Spaces
- Probabilistic Symmetries and Invariance Principles
- Ergodic Theory
This page was built for publication: Limit theorems for distributions invariant under groups of transformations
