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On the limiting behaviour of the empirical kernel distribution function. (English) Zbl 0535.62037

Summary: For an estimable parameter of degree \(m(\geq 1)\), a Glivenko-Cantelli lemma type result for the empirical kernel distribution and weak convergence of the related empirical process are studied. Some statistical applications of these results are also considered.

MSC:

62G05 Nonparametric estimation
60F05 Central limit and other weak theorems
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