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On a certain class of nonparametric density estimators with reduced bias

✍ Scribed by Kanta Naito

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
113 KB
Volume
51
Category
Article
ISSN
0167-7152

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✦ Synopsis

A class of kernel-based nonparametric density estimators with reduced bias is considered which is constructed from a multiplicative adjustment scheme. Estimators in the class are connected by a real parameter and an interesting fact is that the leading term of the bias is linear in and that of the variance is free for . This shows that the asymptotic mean integrated squared error is quadratic in . Consequently, we can ΓΏnd the best estimator in the class. Suggestions for practical choices of are given.

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