Exchangeable pairs and Poisson approximation
From MaRDI portal
Publication:980737
DOI10.1214/154957805100000096zbMath1189.60072arXivmath/0411525OpenAlexW3100202513MaRDI QIDQ980737
Sourav Chatterjee, Persi Diaconis, Elizabeth S. Meckes
Publication date: 29 June 2010
Published in: Probability Surveys (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0411525
Combinatorial probability (60C05) Limit theorems in probability theory (60F99) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)
Related Items (46)
A Pólya Approximation to the Poisson-Binomial Law ⋮ Stein's method for concentration inequalities ⋮ Stein's Method and Stochastic Orderings ⋮ An analysis of the last round matching problem ⋮ Functional limit theorems for random regular graphs ⋮ Unseparated pairs and fixed points in random permutations ⋮ Approximating dependent rare events ⋮ Some things we've learned (about Markov chain Monte Carlo) ⋮ On statistical tests of functional connectome fingerprinting ⋮ A Charlier-Parseval approach to Poisson approximation and its applications ⋮ The Malliavin–Stein Method on the Poisson Space ⋮ Normal approximation and fourth moment theorems for monochromatic triangles ⋮ Global eigenvalue fluctuations of random biregular bipartite graphs ⋮ Moran-type bounds for the fixation probability in a frequency-dependent Wright-Fisher model ⋮ The Poisson binomial distribution -- old \& new ⋮ Card guessing and the birthday problem for sampling without replacement ⋮ Vector-valued statistics of binomial processes: Berry-Esseen bounds in the convex distance ⋮ Fundamentals of Stein's method ⋮ Oscillations for order statistics of some discrete processes ⋮ On moderate deviations in Poisson approximation ⋮ Separation cutoffs for random walk on irreducible representations ⋮ Bounds on convergence for the empirical vector of the Curie-Weiss-Potts model with a non-zero external field vector ⋮ Hopf algebras and Markov chains: two examples and a theory ⋮ Berry-Esseen bounds of normal and nonnormal approximation for unbounded exchangeable pairs ⋮ Central limit theorems for some set partition statistics ⋮ Step Size in Stein's Method of Exchangeable Pairs ⋮ A note on the exchangeability condition in Stein's method ⋮ Stein's method for the Poisson-Dirichlet distribution and the Ewens sampling formula, with applications to Wright-Fisher models ⋮ Asymptotic distribution of Bernoulli quadratic forms ⋮ Avalanches in a short-memory excitable network ⋮ Pattern-avoiding permutations and Brownian excursion. II: Fixed points ⋮ Translated Poisson approximation using exchangeable pair couplings ⋮ Exchangeable pairs, switchings, and random regular graphs ⋮ On rates of convergence in the Curie-Weiss-Potts model with an external field ⋮ Multivariate normal approximation with Stein's method of exchangeable pairs under a general linearity condition ⋮ Functional approximations via Stein's method of exchangeable pairs ⋮ Stein's method of exchangeable pairs in multivariate functional approximations ⋮ Poisson statistics of eigenvalues in the hierarchical Dyson model ⋮ The Second-Moment Phenomenon for Monochromatic Subgraphs ⋮ Commutation relations and Markov chains ⋮ Non-uniform birthday problem revisited: refined analysis and applications to discrete logarithms ⋮ On fixed points of permutations. ⋮ Local limit theorems via Landau-Kolmogorov inequalities ⋮ Cramér-type moderate deviation of normal approximation for unbounded exchangeable pairs ⋮ Cycle structure of random parking functions ⋮ Stein meets Malliavin in normal approximation
This page was built for publication: Exchangeable pairs and Poisson approximation
