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Social and Behavioral Sciences Commons

Open Access. Powered by Scholars. Published by Universities.®

Economics

Singapore Management University

2011

Autoregression

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Optimal Jackknife For Discrete Time And Continuous Time Unit Root Models, Ye Chen, Jun Yu Oct 2011

Optimal Jackknife For Discrete Time And Continuous Time Unit Root Models, Ye Chen, Jun Yu

Research Collection School Of Economics

Maximum likelihood estimation of the persistence parameter in the discrete time unit root model is known for su§ering from a downward bias. The bias is more pronounced in the continuous time unit root model. Recently Chambers and Kyriacou (2010) introduced a new jackknife method to remove the Örst order bias in the estimator of the persistence parameter in a discrete time unit root model. This paper proposes an improved jackknife estimator of the persistence parameter that works for both the discrete time unit root model and the continuous time unit root model. The proposed jackknife estimator is optimal in the …