Ideal Metrics in the Problem of Approximating Distributions of Sums of Independent Random Variables
From MaRDI portal
Publication:4165974
DOI10.1137/1122056zbMath0385.60025OpenAlexW2091386360MaRDI QIDQ4165974
Publication date: 1977
Published in: Theory of Probability & Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/1122056
Related Items (27)
A metric approach to investigation of the stability of Pólya theorem on characterization of the normal distribution ⋮ Structure of ideal metrics ⋮ Bounds for convergence rate in laws of large numbers for mixed Poisson random sums ⋮ Approximation by distributions of sums of smoothly dependent random variables ⋮ On the contraction method with degenerate limit equation. ⋮ Rate of convergence of the distribution of semimartingales to the distribution of a diffusion process with jumps. I ⋮ Weighted Zolotarev metrics and the Kantorovich metric ⋮ A generalization of the Lindeberg principle ⋮ Higher moments of Banach space valued random variables ⋮ Asymptotic normality in Banach spaces via Lindeberg method ⋮ A nonuniform estimate in the central limit theorem in some Banach spaces ⋮ Asymptotic expectation of protected node profile in random digital search trees ⋮ Estimates of moments of infinite-dimensional martingales ⋮ An estimate for the rate of convergence in the central limit theorem in a real separable Hilbert space ⋮ A Darling-Erdős type result for stationary ellipsoids ⋮ A general limit theorem for recursive algorithms and combinatorial structures ⋮ The size of random fragmentation trees ⋮ A functional limit theorem for the profile of search trees ⋮ A new ideal metric with applications to multivariate stable limit theorems ⋮ Berry-Esseen theorems under weak dependence ⋮ Refined quicksort asymptotics ⋮ Rate of convergence in the central limit theorem in infinite-dimensional spaces ⋮ Approximation of distributions of sums of dependent random variables with values in a Banach space ⋮ Asymptotic stability of some nonlinear Boltzmann-type equations ⋮ Estimates of convergence rate in Renyi's theorem ⋮ Approximation by distributions of sums of conditionally independent random variables ⋮ On a functional contraction method
This page was built for publication: Ideal Metrics in the Problem of Approximating Distributions of Sums of Independent Random Variables
