Estimates for the closeness of successive convolutions of multidimensional symmetric distributions
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Publication:1094740
DOI10.1007/BF00320918zbMath0631.60022MaRDI QIDQ1094740
Publication date: 1988
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Related Items (10)
Compound Poisson approximation ⋮ On smoothing properties of compound Poisson distributions ⋮ Compound Poisson approximations for symmetric vectors ⋮ Convergence to infinite-dimensional compound Poisson distributions on convex polyhedra ⋮ Estimates for closeness of convolutions of probability distributions on convex polyhedra ⋮ Approximation of mixture of distributions ⋮ Certain class of nonuniform estimates in multidimensional limit theorems ⋮ Toward the history of the Saint St. Petersburg school of probability and statistics. I: Limit theorems for sums of independent random variables ⋮ Arak Inequalities for Concentration Functions and the Littlewood--Offord Problem ⋮ Approximation of a sample by a Poisson point process
Cites Work
- Asymptotic methods in statistical decision theory
- On the Gaussian approximation of convolutions under multidimensional analogues of S. N. Bernstein's inequality conditions
- The central limit theorem around 1935. With comments, and a rejoinder by the author
- The convolution metric dg
- Some Properties of N-Fold Convolutions of Distributions
- On a Multidimensional Version of the Kolmogorov Uniform Limit Theorem
- On Classes of Limit Distributions for Sums of a Random Number of Identically Distributed Independent Random Variables
- Limiting distributions of random sums of independent random variables
- On the concentration function of a sum of independent random variables
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