Normal convergence by higher semi-invariants with applications to sums of dependent random variables and random graphs
From MaRDI portal
Publication:1099874
DOI10.1214/aop/1176991903zbMath0639.60029OpenAlexW1994924378WikidataQ104883052 ScholiaQ104883052MaRDI QIDQ1099874
Publication date: 1988
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176991903
central limit theoremrandom graphsemiinvariantscriterion for asymptotic normality of sums of dependent variables
Related Items
A central limit theorem for lattice gauge Gibbs random fields ⋮ Method of moments and sums of random indicators ⋮ The method of cumulants for the normal approximation ⋮ Limit distributions of the number of absent chains of identical outcomes ⋮ Об асимптотической нормальности в задаче о повторениях цепочек в помеченном полном дереве ⋮ Moderate deviations via cumulants ⋮ Local mixtures of the exponential distribution ⋮ On the asymptotic normality of some sums of dependent random variables ⋮ Asymptotic normality and greatest common divisors ⋮ Central limit theorems for patterns in multiset permutations and set partitions ⋮ Normal approximation for U- and V-statistics of a stationary absolutely regular sequence ⋮ Asymptotic linearity of binomial random hypergraphs via cluster expansion under graph-dependence ⋮ Asymptotic normality of the number of absent noncontinuous chains of outcomes of independent trials ⋮ Asymptotic normality for -dependent and constrained -statistics, with applications to pattern matching in random strings and permutations ⋮ Finite Automata, Probabilistic Method, and Occurrence Enumeration of a Pattern in Words and Permutations ⋮ Wasserstein-\(p\) bounds in the central limit theorem under local dependence ⋮ On the asymptotic normality conditions for the number of repetitions in a stationary random sequence ⋮ Conditions for asymptotic normality of the number of multiple repetitions of chains in marked complete trees and forests;Условия асимптотической нормальности числа кратных повторений цепочек в помеченных полных деревьях и лесах ⋮ Central limit theorems for generalized descents and generalized inversions in finite root systems ⋮ Central limit theorems for eigenvalues of deformations of Wigner matrices ⋮ Mod-ϕ Convergence, II: Estimates on the Speed of Convergence ⋮ Divisibility properties of random samples of integers ⋮ Redundancy in Gaussian random fields ⋮ Correlation functions for random complex zeroes: Strong clustering and local universality ⋮ Stable limit theorems for empirical processes under conditional neighborhood dependence ⋮ ON THE ASYMPTOTIC NORMALITY OF THE FREQUENCIES OF LETTERS IN A MULTICYCLIC SEQUENCE ⋮ Об асимптотической нормальности числа пустых ячеек в одной схеме размещения частиц комплектами ⋮ Asymptotic normality of the number of values of m-dependent random variables which occur a given number of times ⋮ Weighted dependency graphs ⋮ Weak convergence using higher-order cumulants ⋮ Approximate word matches between two random sequences ⋮ Central limit theorem for exponentially quasi-local statistics of spin models on Cayley graphs ⋮ On the variance of the random sphere of influence graph ⋮ The compound Poisson distribution of the number of matches of values of a discrete function of s-tuples in segments of a sequence of random variables ⋮ Limit theorems for network dependent random variables ⋮ On ballistic deposition process on a strip ⋮ Bivariate fluctuations for the number of arithmetic progressions in random sets ⋮ Асимптотическая нормальность числа непоявившихся значений $m$-зависимых случайных величин ⋮ Fluctuations of the Gromov-Prohorov sample model ⋮ Предельные теоремы о нормальном распределении для числа решений нелинейных включений ⋮ Nonconventional limits of random sequences related to partitions of integers ⋮ Small Submatroids in Random Matroids ⋮ Tree descent polynomials: unimodality and central limit theorem ⋮ When Janson meets McDiarmid: Bounded difference inequalities under graph-dependence ⋮ A remark on the connection between the large deviation principle and the central limit theorem ⋮ Limit distribution of the coefficients of polynomials with only unit roots ⋮ Quenched law of large numbers and quenched central limit theorem for multiplayer leagues with ergodic strengths ⋮ Measuring the association of stationary point processes using spectral analysis techniques ⋮ Brillinger mixing of determinantal point processes and statistical applications ⋮ No-reference image quality assessment and blind deblurring with sharpness metrics exploiting Fourier phase information
