Arbeitspapier
Nonparametric Regression with Serially Correlated Errors
Motivated by the problem of setting prediction intervals in time seriesanalysis, this investigation is concerned with recovering a regression functionm(X_t) on the basis of noisy observations taking at random design pointsX_t.It is presumed that the corresponding observations are corrupted by additiveserially correlated noise and that the noise is, in fact, induced by a generallinear process. The main result of this study is that, under some reasonableconditions, the nonparametric kernel estimator of m(x)(/i) is asymptoticallynormally distributed. Using this result, we construct confidence bands form(x).Simulations will be conducted to assess the performance of these bands infinite-sample situations
- Language
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Englisch
- Bibliographic citation
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Series: Tinbergen Institute Discussion Paper ; No. 99-063/4
- Classification
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Wirtschaft
- Subject
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Schätztheorie
Regression
Theorie
- Event
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Geistige Schöpfung
- (who)
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de Gooijer, Jan G.
Gannoun, Ali
- Event
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Veröffentlichung
- (who)
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Tinbergen Institute
- (where)
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Amsterdam and Rotterdam
- (when)
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1999
- Handle
- Last update
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10.03.2025, 11:44 AM CET
Data provider
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Object type
- Arbeitspapier
Associated
- de Gooijer, Jan G.
- Gannoun, Ali
- Tinbergen Institute
Time of origin
- 1999