Normal approximation for hierarchical structures
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Publication:1769419
DOI10.1214/105051604000000440zbMath1064.60056arXivmath/0503549OpenAlexW2130956369MaRDI QIDQ1769419
Publication date: 21 March 2005
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0503549
Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Self-similar stochastic processes (60G18) Foundations of stochastic processes (60G05)
Related Items (14)
Zero biasing and a discrete central limit theorem ⋮ Bounds to the Normal Approximation for Linear Recursions with Two Effects ⋮ Hierarchical structures associated with order functions ⋮ Zero bias enhanced Stein couplings ⋮ Normal approximations for discrete-time occupancy processes ⋮ Weak-disorder limit for directed polymers on critical hierarchical graphs with vertex disorder ⋮ \(L^1\) bounds in normal approximation ⋮ Distributional transformations, orthogonal polynomials, and Stein characterizations ⋮ Bounds on the constant in the mean central limit theorem ⋮ Berry-Esseen bounds for combinatorial central limit theorems and pattern occurrences, using zero and size biasing ⋮ Weak-disorder limit at criticality for directed polymers on hierarchical graphs ⋮ Continuum directed random polymers on disordered hierarchical diamond lattices ⋮ High-temperature scaling limit for directed polymers on a hierarchical lattice with bond disorder ⋮ Zero Biasing and Jack Measures
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- Hierarchical Sequences of Random Variables
- Multivariate normal approximations by Stein's method and size bias couplings
- Central limit theorems for nonlinear hierarchical sequences of random variables
- Erratum on: ``A strong law of large numbers for iterated functions of independent random variables
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