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On the Asymptotic Expectations of Some Unit Root Tests in a First Order Autoregressive Process in the Presence of Trend
Authors:Rolf Larsson
Institution:(1) Department of Mathematics, Uppsala University, P.O. Box 480, S-751 06 Uppsala, Sweden;(2) Department of Statistics, Stockholm University, S-106 91 Stockholm, Sweden
Abstract:Estimation in a first order autoregressive process with trend isconsidered. Integral expressions for the asymptotic bias of the estimatorunder a unit root and for the expectation of the limit distribution of thelog likelihood ratio test for a unit root are given, and evaluatednumerically.
Keywords:Autoregression with trend  unit root test
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