Asymptotics for stationary very nearly unit root processes

Donald W.K. Andrews, Patrik Guggenberger

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


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
Issue number1
StatePublished - Jan 2008

All Science Journal Classification (ASJC) codes

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


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