Smoothing dependent observations
We consider the problem of nonparametric regression when the error process has a continuous covariance structure. We show that smoothers are generally not consistent. If measurements from independent trajectories are available, smoothing the averaged trajectories can be detrimental asymptotically.
Year of publication: |
1994
|
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Authors: | Fraiman, R. ; Meloche, J. |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 21.1994, 3, p. 203-214
|
Publisher: |
Elsevier |
Keywords: | Nonparametric regression Consistency Independent increments Asymptotic efficiency |
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