Central limit problem for symmetric case: Convergence to non-Gaussian laws
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Publication:3911137
DOI10.4064/sm-67-3-279-296zbMath0461.60022OpenAlexW1004632619WikidataQ114844085 ScholiaQ114844085MaRDI QIDQ3911137
Joel Zinn, Vidyadhar Mandrekar
Publication date: 1980
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/218299
domain of attractioncentral limit problemcharacterizations of spaces in terms of limit theoremsconvergence to non-Gaussian lawsspaces of type p
Central limit and other weak theorems (60F05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)
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Rate of convergence in the weak law of large numbers in a Banach space ⋮ Polar decomposition of regularly varying time series in star-shaped metric spaces ⋮ Weak laws of large numbers of double sums of independent random elements in Rademacher type \(p\) and stable type \(p\) Banach spaces ⋮ \(\alpha\)-stable characterization of Banach spaces (\(1<alpha<2\)) ⋮ Mean convergence theorem for multidimensional arrays of random elements in Banach spaces ⋮ Law of large numbers for identically distributed Banach-valued random variables ⋮ Central limit theorems for the Wasserstein distance between the empirical and the true distributions ⋮ The Central Limit Theorem for Empirical Processes Under Local Conditions: The Case of Radon Infinitely Divisible Limits without Gaussian Component ⋮ Central limit theorems and weak laws of large numbers in certain banach spaces ⋮ Uniform and universal Glivenko-Cantelli classes
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