Research output: Contribution to journal › Article › peer-review
On the asymptotic behavior of bubble date estimators. / Kurozumi, Eiji ; Skrobotov, Anton .
In: Journal of Time Series Analysis, 13.11.2022.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - On the asymptotic behavior of bubble date estimators
AU - Kurozumi, Eiji
AU - Skrobotov, Anton
PY - 2022/11/13
Y1 - 2022/11/13
N2 - 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 date of collapse and to consider the estimation of the date of exuberation and date of recovery separately. We have also found that the limiting behavior of the recovery date varies depending on the extent of explosiveness and recovering.
AB - 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 date of collapse and to consider the estimation of the date of exuberation and date of recovery separately. We have also found that the limiting behavior of the recovery date varies depending on the extent of explosiveness and recovering.
U2 - https://doi.org/10.1111/jtsa.12672
DO - https://doi.org/10.1111/jtsa.12672
M3 - Article
JO - Journal of Time Series Analysis
JF - Journal of Time Series Analysis
SN - 0143-9782
ER -
ID: 103307886