Some extensions of the asymptotics of a kernel estimator of a distribution function
The asymptotic results for a kernel estimator of a distribution function F [Azzalini (1981)] are extended. Under certain smoothness conditions on the quantile function, it is established that, a class of kernel estimators of F can achieve a smaller mean squared error than the empirical distribution function, even at points where the density is unbounded or has zero derivative. Asymptotic optimal bandwidths are obtained.
Year of publication: |
1997
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Authors: | Shao, Yongzhao ; Xiang, Xiaojing |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 34.1997, 3, p. 301-308
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Publisher: |
Elsevier |
Keywords: | Kernel estimator Asymptotic optimal bandwidth Quantiles Empirical distribution function Mean squared error |
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