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- W2007047167 abstract "The scaled-sample problem asks the following question: given a distribution on a normed linear space E, when do there exist constants ${gamma_n} such that $X^{(j)}/gamma_n}_{j=1}^n$ converges as $n to infty$ (in the Hausdorff metric given by the norm) to a fixed set K? (Here ${X^{(j)}}$ are i.i.d. with the given distribution). The main result presented here relates the convergence of scaled samples to a large deviation principle for single observations, thereby achieving a dimension-free description of the problem." @default.
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- W2007047167 date "1996-07-01" @default.
- W2007047167 modified "2023-10-18" @default.
- W2007047167 title "On the convergence of scaled random samples" @default.
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- W2007047167 doi "https://doi.org/10.1214/aop/1065725190" @default.
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