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Stable limits for empirical processes on Vapnik-Červonenkis classes of functions - MaRDI portal

Stable limits for empirical processes on Vapnik-Červonenkis classes of functions (Q2365599)

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Stable limits for empirical processes on Vapnik-Červonenkis classes of functions
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    Stable limits for empirical processes on Vapnik-Červonenkis classes of functions (English)
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    29 June 1993
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    The author obtains sufficient conditions for the central limit theorem for empirical processes on Vapnik-Červonenkis classes of functions with non-Gaussian stable limits and establishes the corresponding weak laws of large numbers. The results extend those of \textit{K. S. Alexander} [Ann. Probab. 15, 178-203 (1987; Zbl 0624.60032)].
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    central limit theorem
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    empirical processes
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    Vapnik-Červonenkis classes
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    stable limits
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    weak laws of large numbers
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