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In this study, we extend the three‐regime bubble model of Pang et al. (2021, Journal of Econometrics, 221(1):227–311) to allow the forth regime followed by the unit root process after recovery. We provide the asymptotic and finite sample justification of the consistency of the collapse date estimator in the two‐regime AR(1) model. The consistency allows us to split the sample before and after the...