The bounded law of the iterated logarithm for the weighted empirical distribution process in the non-i.i.d. case

DOI10.1214/aop/1176993294zbMath0538.60009OpenAlexW1997191245MaRDI QIDQ793430

Joel Zinn, Michael B. Marcus

Publication date: 1984

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176993294

zbMATH Keywords

law of the iterated logarithmweighted empirical processDaniel's theorem

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) (L^p)-limit theorems (60F25)

Related Items (11)

Limit theorems for methods of summation of independent random variables. I ⋮ On Wieand's theorem ⋮ Nonparametric multiple change-point estimators ⋮ On properties of empirical and related random processes ⋮ THE APPROPRIATE REDUCTION OF THE WEIGHTED EMPIRICAL PROCESS ⋮ On integrability in the LIL for degenerate \(U\)-statistics ⋮ Asymptotics of \(M\)-estimation in nonlinear regression ⋮ Uniform convergence of the empirical spectral distribution function ⋮ The central limit theorem and the law of iterated logarithm for empirical processes under local conditions ⋮ Rearrangement invariant norms of symmetric sequence norms of independent sequences of random variables ⋮ Empirical bayes estimation with non-identical components

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