scientific article; zbMATH DE number 7662451
Publication date: 13 March 2023
Full work available at URL: https://arxiv.org/abs/2008.02272
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stein's method\(U\)-statisticsWasserstein distancerandom walks on groupsexchangeable pairssubgraph countsgeometric random graphsMarkov generatorsfinite population statisticsPearson's statisticcarré du champ operatorsymmetric functionals
Asymptotic distribution theory in statistics (62E20) Linear regression; mixed models (62J05) Central limit and other weak theorems (60F05) Continuous-time Markov processes on general state spaces (60J25) Stochastic calculus of variations and the Malliavin calculus (60H07) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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Cites Work
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- Stochastic analysis for Poisson point processes. Malliavin calculus, Wiener-Itô chaos expansions and stochastic geometry
- Normal approximation of Poisson functionals in Kolmogorov distance
- Double asymptotics for the chi-square statistic
- Stein's method for comparison of univariate distributions
- Quantitative de Jong theorems in any dimension
- Nonnormal approximation by Stein's method of exchangeable pairs with application to the Curie-Weiss model
- Stein's method for dependent random variables occuring in statistical mechanics
- Chaos of a Markov operator and the fourth moment condition
- Normal approximation for finite-population U-statistics
- Geometric bounds for eigenvalues of Markov chains
- Stein's method on Wiener chaos
- Stein's method of exchangeable pairs for the Beta distribution and generalizations
- A central limit theorem for generalized multilinear forms
- A new method of normal approximation
- A note on the exchangeability condition in Stein's method
- Multivariate normal approximation with Stein's method of exchangeable pairs under a general linearity condition
- Symmetric statistics, Poisson point processes, and multiple Wiener integrals
- Limit theorems for a triangular scheme of U-statistics with applications to inter-point distances
- Asymptotic distribution of symmetric statistics
- Covariances of symmetric statistics
- A class of \(U\)-statistics and asymptotic normality of the number of \(k\)- clusters
- On coupling constructions and rates in the CLT for dependent summands with applications to the antivoter model and weighted \(U\)-statistics
- The fourth moment theorem on the Poisson space
- New Berry-Esseen bounds for functionals of binomial point processes
- Quantitative CLTs for symmetric \(U\)-statistics using contractions
- On the fourth moment condition for Rademacher chaos
- Berry-Esseen bounds of normal and nonnormal approximation for unbounded exchangeable pairs
- Fourth moment theorems on the Poisson space in any dimension
- The Gamma Stein equation and noncentral de Jong theorems
- Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics
- An Edgeworth expansion for symmetric finite population statistics
- Normal approximation under local dependence.
- On the estimation of multiple random integrals and \(U\)-statistics
- Chi-square approximation by Stein's method with application to Pearson's statistic
- Functional approximations via Stein's method of exchangeable pairs
- Stein's method of exchangeable pairs in multivariate functional approximations
- Functional convergence of sequential \(U\)-processes with size-dependent kernels
- New error bounds in multivariate normal approximations via exchangeable pairs with applications to Wishart matrices and fourth moment theorems
- Exchangeable pairs on Wiener chaos
- Multivariate approximations in Wasserstein distance by Stein's method and Bismut's formula
- Stein's method for concentration inequalities
- Fine Gaussian fluctuations on the Poisson space. II: Rescaled kernels, marked processes and geometric \(U\)-statistics
- Fourth moment theorems for Markov diffusion generators
- The probability of connectivity in a hyperbolic model of complex networks
- Gamma limits and U-statistics on the Poisson space
- On Stein’s method for multivariate normal approximation
- Random Hyperbolic Graphs: Degree Sequence and Clustering
- Asymptotic Distribution of The $\chi ^2 $ Criterion when the Number of Observations and Number of Groups Increase Simultaneously
- Approximation Theorems of Mathematical Statistics
- Normal Approximation by Stein’s Method
- On the functional central limit theorem and the law of the iterated logarithm for Markov processes
- Generating a random permutation with random transpositions
- Random Geometric Graphs
- Analysis and Geometry of Markov Diffusion Operators
- Stein's Method for the Beta Distribution and the Pólya-Eggenberger Urn
- On the Properties of U-Statistics When the Observations are not Independent
- A Class of Statistics with Asymptotically Normal Distribution
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