Toeplitz lemma, complete convergence, and complete moment convergence
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Publication:2979954
DOI10.1080/03610926.2015.1026996zbMath1360.60056arXiv1406.0768OpenAlexW2964211431MaRDI QIDQ2979954
Publication date: 27 April 2017
Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.0768
complete convergencecomplete moment convergenceKronecker lemmaToeplitz lemmaCesàro mean convergence theorem
Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Convergence and divergence of series and sequences (40A05) (L^p)-limit theorems (60F25)
Related Items (8)
Toeplitz lemma in geodesic metric space and convergence of inductive means ⋮ Convergence rates in the law of large numbers and new kinds of convergence of random variables ⋮ Analysis of the smoothly amnesia-reinforced multidimensional elephant random walk ⋮ A linear algebra perspective on the random multi-block ADMM: the QP case ⋮ Randomized Kaczmarz algorithm with averaging and block projection ⋮ Asymptotic efficiency in autoregressive processes driven by stationary Gaussian noise ⋮ Convergences of random variables under sublinear expectations ⋮ On complete convergence in mean for double sums of independent random elements in Banach spaces
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