Weak and \(L^p\)-invariance principles for sums of \(B\)-valued random variables
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Publication:1136153
DOI10.1214/aop/1176994825zbMath0426.60033OpenAlexW2043106415MaRDI QIDQ1136153
Publication date: 1980
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176994825
invariance principlesstable lawsdomains of attractionBanach space valued random variablesmixing sequences of random variables
Central limit and other weak theorems (60F05) Convergence of probability measures (60B10) Functional limit theorems; invariance principles (60F17)
Related Items (18)
On stability of probability laws with univariate stable marginals ⋮ On the invariance principle for stationary \(\phi\) -mixing triangular arrays with infinitely divisible limits ⋮ Some limit theorems for dependent Bernoulli random variables ⋮ Extremal point processes and intermediate quantile functions ⋮ On weak invariance principles for partial sums ⋮ Invariance principles in probability for stable processes generated by a class of dependent sequences ⋮ Invariance principles for generalized domains of semistable attraction ⋮ A strong invariance principle for the elephant random walk ⋮ An almost sure invariance principle for triangular arrays of banach space valued random variables ⋮ Resampling \(U\)-statistics using \(p\)-stable laws ⋮ A strong approximation theorem for sums of random vectors in the domain of attraction to a stable law ⋮ Strong approximation of very weak Bernoulli processes ⋮ A restricted dichotomy of equivalence classes for some measures of dependence ⋮ A multivariate functional limit theorem in weak \(M_1\) topology ⋮ Invariance principles for sums of Banach space valued random elements and empirical processes ⋮ On Some Limit Theorems for Continued Fractions ⋮ The invariance principle for ϕ-mixing sequences ⋮ Invariance principles for partial sum processes and empirical processes indexed by sets
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