Free online access to Journal of Time Series Analysis article

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  • Author: Statistics Views
  • Date: 20 October 2014

Each week, we select an article hot off the press and provide free access. This week's article is from the Journal of Time Series Analysis, available on Early View, the online version of record published prior to issue allocation.

To read the article in full, please clck the link below:

Block Bootstrap Theory for Multivariate Integrated and Cointegrated Processes
Carsten Jentsch, Dimitris N. Politis and Efstathios Paparoditis
DOI: 10.1111/jtsa.12088

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We develop some asymptotic theory for applications of block bootstrap resampling schemes to multivariate integrated and cointegrated time series. It is proved that a multivariate, continuous-path block bootstrap scheme applied to a full rank integrated process succeeds in estimating consistently the distribution of the least squares estimators in both the regression and the spurious regression case. Furthermore, it is shown that the same block resampling scheme does not succeed in estimating the distribution of the parameter estimators in the case of cointegrated time series. For this situation, a modified block resampling scheme, the so-called residual-based block bootstrap, is investigated, and its validity for approximating the distribution of the regression parameters is established. The performance of the proposed block bootstrap procedures is illustrated in a short simulation study.

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