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
Englisch

Bibliographic citation
Series: Tinbergen Institute Discussion Paper ; No. 99-063/4

Classification
Wirtschaft
Subject
Schätztheorie
Regression
Theorie

Event
Geistige Schöpfung
(who)
de Gooijer, Jan G.
Gannoun, Ali
Event
Veröffentlichung
(who)
Tinbergen Institute
(where)
Amsterdam and Rotterdam
(when)
1999

Handle
Last update
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

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