On the weak convergence of kernel density estimators in Lp spaces |
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| Authors: | Gilles Stupfler |
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| Institution: | CERGAM, Aix Marseille Université, EA 4225, 13540 Puyricard, France |
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| Abstract: | Since its introduction, the pointwise asymptotic properties of the kernel estimator f?n of a probability density function f on ?d, as well as the asymptotic behaviour of its integrated errors, have been studied in great detail. Its weak convergence in functional spaces, however, is a more difficult problem. In this paper, we show that if fn(x)= | |
| Keywords: | kernel density estimator weak convergence Lp space |
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