Invariance principles for generalized domains of semistable attraction

DOI10.1016/j.spa.2013.07.004zbMath1284.60091OpenAlexW1988378419MaRDI QIDQ2434469

Yanyan Li

Publication date: 6 February 2014

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2013.07.004

zbMATH Keywords

invariance principledomain of attractionoperator semistable lawaffine normalized partial sumoperator Lévy motion

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Other physical applications of random processes (60K40) Functional limit theorems; invariance principles (60F17)

Related Items (2)

Large deviations for sums of random vectors attracted to operator semi-stable laws ⋮ Laws of the iterated logarithm of chover-type for operator stable Lévy processes

Cites Work

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• Strong approximation for set-indexed partial sum processes via KMT constructions. I
• Strong approximation for set-indexed partial-sum processes, via KMT constructions. II
• Spectral decomposition for generalized domains of attraction
• Domains of operator semi-attraction of operator semi-stable probability measures
• Moments of distributions attracted to operator-stable laws
• Weak and \(L^p\)-invariance principles for sums of \(B\)-valued random variables
• Invariance principles in probability for triangular arrays of B-valued random vectors and some applications
• A weak invariance principle with applications to domains of attraction
• A law of the iterated logarithm for randomly stopped sums of heavy tailed random vectors
• Multivariate R-O varying measures. II: Individual bounds
• Moments of measures attracted to operator semi-stable laws
• A law of the iterated logarithm for heavy-tailed random vectors
• Multivariate R-O Varying Measures Part I: Uniform Bounds
• Regular Variation in R k
• Operator-Semistable Distributions on ${\bf R}^d$
• Approximation of partial sums of i.i.d.r.v.s when the summands have only two moments
• Semi-stable probability measures on $R^{N}$
• Convergence of moments and related functional in the general central limit theorem in banach spaces
• Multivariable Regular Variation of Functions and Measures
• Limit theorems for continuous-time random walks with infinite mean waiting times
• An invariance principle for the law of the iterated logarithm
• Regularly varying functions

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