A strong invariance principle for associated sequences
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Publication:674521
DOI10.1214/aop/1041903219zbMath0879.60028OpenAlexW2003211189MaRDI QIDQ674521
Publication date: 1996
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1041903219
Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15) Convergence of probability measures (60B10) Functional limit theorems; invariance principles (60F17)
Related Items (13)
On the other LIL for variables without finite variance ⋮ A nonclassical law of the iterated logarithm for functions of positively associated random variables ⋮ Strong approximation for sums of asymptotically negatively dependent Gaussian sequences with applications ⋮ A strong approximation theorem for positively dependent Gaussian sequences and its applications ⋮ Invariance principles for deconvolving kernel density estimation for stationary sequences of random variables ⋮ The law of the iterated logarithm for positively dependent random variables ⋮ A strong invariance principle for negatively associated random fields ⋮ Asymptotics of kernel density estimators on weakly associated random fields ⋮ Strassen's law of the iterated logarithm for negatively associated random vectors. ⋮ A strong invariance principle for associated random fields ⋮ A strong approximation theorem for quasi-associated sequences ⋮ A strong invariance principle for positively or negatively associated random fields ⋮ Exact rates in log law for positively associated random variables
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