On normal approximations of distributions in terms of dependency graphs
From MaRDI portal
Publication:582681
DOI10.1214/aop/1176991178zbMath0691.60020OpenAlexW1988370192MaRDI QIDQ582681
Publication date: 1989
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176991178
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Graph theory (05C99)
Related Items
Central limit theorems for \(k\)-nearest neighbour distances, Normal approximation under local dependence., Stein's method for concentration inequalities, Method of moments and sums of random indicators, Central limit theorems for Gaussian polytopes, KOLMOGOROV BOUNDS FOR THE NORMAL APPROXIMATION OF THE NUMBER OF TRIANGLES IN THE ERDŐS–RÉNYI RANDOM GRAPH, On normal approximation rates for certain sums of dependent random variables, Multivariate approximation in total variation using local dependence, Martingales and descent statistics, Confidence intervals for linear unbiased estimators under constrained dependence, Asymptotic normality and greatest common divisors, Limit behaviors of random connected graphs driven by a Poisson process, A strong law of large numbers for random biased connected graphs, Asymptotic normality for -dependent and constrained -statistics, with applications to pattern matching in random strings and permutations, Wasserstein-\(p\) bounds in the central limit theorem under local dependence, Cramér-type moderate deviations under local dependence, From \(p\)-Wasserstein bounds to moderate deviations, Efficient functional estimation and the super-oracle phenomenon, Central limit theorems for high dimensional dependent data, Random points and lattice points in convex bodies, Gaussian approximation for high dimensional vector under physical dependence, Mod-ϕ Convergence, II: Estimates on the Speed of Convergence, Divisibility properties of random samples of integers, Gaussian approximations for phylogenetic branch length statistics under stochastic models of biodiversity, Normal approximation for random sums, Random inscribing polytopes, A new method of normal approximation, Stable limit theorems for empirical processes under conditional neighborhood dependence, ON THE ASYMPTOTIC NORMALITY OF THE FREQUENCIES OF LETTERS IN A MULTICYCLIC SEQUENCE, A law of large numbers for nearest neighbour statistics, The infinitesimal model: definition, derivation, and implications, Weighted dependency graphs, Size bias for one and all, An inscribing model for random polytopes, On the variance of the random sphere of influence graph, Limit theorems for network dependent random variables, Poisson polytopes, Weighted dependency graphs and the Ising model, Limit theory for isolated and extreme points in hyperbolic random geometric graphs, A general study of extremes of stationary tessellations with examples, An application of Stein's method to limit theorems for pairwise negative quadrant dependent random variables, When Janson meets McDiarmid: Bounded difference inequalities under graph-dependence, Multivariate normal approximation in geometric probability, On the number of pure strategy Nash equilibria in random games, Quenched law of large numbers and quenched central limit theorem for multiplayer leagues with ergodic strengths
