On Consistency in Nonparametric Estimation under Mixing Conditions
In this paper a method for obtaining a.s. consistency in nonparametric estimation is presented which only requires the handling of covariances. This method is applied to kernel density estimation and kernel and nearest neighbour regression estimation. It leads to conditions for a.s. consistency which relax known conditions and include long-range dependence.
Year of publication: |
1997
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Authors: | Irle, A. |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 60.1997, 1, p. 123-147
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Publisher: |
Elsevier |
Keywords: | Nonparametric estimation consistency mixing kernel estimation nearest neighbour estimation |
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