UNIT ROOT AND COINTEGRATING LIMIT THEORY WHEN INITIALIZATION IS IN THE INFINITE PAST

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X-DIFFERENCING AND DYNAMIC PANEL MODEL ESTIMATION (2013, background): “…at t = 0 with some Op (1) initialization when ρ = 1, although various other settings, while not our concern here, are possible and can be treated as in Phillips and Magdalinos (2009).1 Observe that there is no restriction on ρ in (1), whereas in (2) ρ is effectively restricted to the region −1 <…”
Speculative bubbles in agricultural commodity markets (2013, background): “Phillips and Magdalinos (2009) recently provided the large sample asymptotic theory of mildly explosive process.”
Agricultural Price Transmission Across Space and Commodities During Price Bubbles (2011, background): “Recent works by Phillips and Magdalinos (2009), Philips et al. (2009) and Phillips and Yu, 2009 (see also Gutierrez, 2010) have provided an appropriate framework for assessing the presence of an explosive root (a bubble) within processes that would be otherwise ruled as I(1).”