By: |
Cizek, P.;
Haerdle, W.;
Spokoiny, V. (Tilburg University, Center for Economic Research) |
Abstract: |
This paper offers a new method for estimation and forecasting of the linear
and nonlinear time series when the stationarity assumption is violated. Our
general local parametric approach particularly applies to general
varying-coefficient parametric models, such as AR or GARCH, whose coefficients
may arbitrarily vary with time. Global parametric, smooth transition, and
changepoint models are special cases. The method is based on an adaptive
pointwise selection of the largest interval of homogeneity with a given
right-end point by a local change-point analysis. We construct locally
adaptive estimates that can perform this task and investigate them both from
the theoretical point of view and by Monte Carlo simulations. In the
particular case of GARCH estimation, the proposed method is applied to
stock-index series and is shown to outperform the standard parametric GARCH
model. |
Keywords: |
adaptive pointwise estimation;autoregressive models;conditional heteroscedasticity models;local time-homogeneity |
JEL: |
C13 C14 C22 |
Date: |
2007 |
URL: |
http://d.repec.org/n?u=RePEc:dgr:kubcen:200735&r=for |