Bootstrap Unit Root Tests

Bootstrap Unit Root Tests

We consider the bootstrap unit root tests based on finite order autoregressive integrated models driven by iid innovations, with or without deterministic time trends. A general methodology is developed to approximate asymptotic distributions for the models driven by integrated time series, and used to obtain asymptotic expansions for the Dickey–Fuller unit root tests. The second-order terms in ...

Bootstrap Unit Root Tests in Panels with Cross-Sectional Dependency

We apply bootstrap methodology to unit root tests for dependent panels with N cross-sectional units and T time series observations. More speci cally, we let each panel be driven by a general linear process which may be di erent across crosssectional units, and approximate it by a nite order autoregressive integrated process of order increasing with T . As we allow the dependency among the innov...

Tapered Block Bootstrap for Unit Root Testing

A new bootstrap procedure for unit root testing based on the tapered block bootstrap is introduced. This procedure is similar to previous tests that were based on the block bootstrap and stationary bootstrap, but it has the advantage of the tapering procedure that has been previously shown to reduce the bias of the variance estimator by an order of magnitude. In this paper, the procedure is def...

Differencing and Unit Root Tests

e d In the Box-Jenkins approach to analyzing time series, a key question is whether to difference th ata, i.e., to replace the raw data {y } by the differenced series {y −y }. Experience indicates that m t t t −1 ost economic time series tend to wander and are not stationary, but that differencing often yields a e r stationary result. A key example, which often provides a fairly good descriptio...

More on Unit Root Tests