The Central Limit Theorem for Empirical Processes Under Local Conditions: The Case of Radon Infinitely Divisible Limits without Gaussian Component

DOI10.2307/2001094zbMath0661.60052OpenAlexW4234268892MaRDI QIDQ3810620

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Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2001094

zbMATH Keywords

central limit theoremconvergence of empirical processesp-stable Radon measures

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (8)

The central limit theorem for empirical processes on V-Č classes: A majorizing measure approach ⋮ Central limit theorem for stochastically continuous processes. Convergence to stable limit ⋮ Rates of almost sure convergence of plug-in estimates for distortion risk measures ⋮ Continuous mapping approach to the asymptotics of \(U\)- and \(V\)-statistics ⋮ Weak convergence for the row sums of a triangular array of empirical processes under bracketing conditions ⋮ Glivenko-Cantelli-type theorems for weighted empirical distribution functions based on uniform spacings ⋮ On the asymptotic distributions of weighted uniform mulitivariate empirical processes ⋮ Convergence rates of least squares regression estimators with heavy-tailed errors

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• [https://portal.mardi4nfdi.de/wiki/Publication:3956139 Loi du logarithme it�r� dans C S) et fonction caract�ristique empirique]

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