Asymptotics for stationary very nearly unit root processes

Donald W.K. Andrews, Patrik Guggenberger

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

This article considers a mean zero stationary first-order autoregressive (AR) model. It is shown that the least squares estimator and t statistic have Cauchy and standard normal asymptotic distributions, respectively, when the AR parameter ρ n is very near to one in the sense that 1 - ρ n = o(n -1).

Original languageEnglish (US)
Pages (from-to)203-212
Number of pages10
JournalJournal of Time Series Analysis
Volume29
Issue number1
DOIs
StatePublished - Jan 1 2008

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Unit Root
Least Squares Estimator
Autoregressive Model
Cauchy
Asymptotic distribution
Statistic
Gaussian distribution
Statistics
First-order
Zero
Standards
Autoregressive model
Least squares estimator
Unit root

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

Cite this

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Asymptotics for stationary very nearly unit root processes. / Andrews, Donald W.K.; Guggenberger, Patrik.

In: Journal of Time Series Analysis, Vol. 29, No. 1, 01.01.2008, p. 203-212.

Research output: Contribution to journalArticle

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