Stationary bootstrapping for non-parametric estimator of nonlinear autoregressive model

Authors


Correspondence to: Eunju Hwang, Institute of Mathematical Science and Department of Statistics, Ewha Womans University, Seoul 120-750, South Korea.

Abstract

We consider stationary bootstrap approximation of the non-parametric kernel estimator in a general kth-order nonlinear autoregressive model under the conditions ensuring that the nonlinear autoregressive process is a geometrically Harris ergodic stationary Markov process. We show that the stationary bootstrap procedure properly estimates the distribution of the non-parametric kernel estimator. A simulation study is provided to illustrate the theory and to construct confidence intervals, which compares the proposed method favorably with some other bootstrap methods.

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