Determining the Number and Values of Thresholds for Multi-regime Threshold Ornstein–Uhlenbeck Processes
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DOI: 10.1007/s10959-024-01343-3
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- Antoine Lejay & Paolo Pigato, 2019.
"A Threshold Model For Local Volatility: Evidence Of Leverage And Mean Reversion Effects On Historical Data,"
International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 22(04), pages 1-24, June.
- Antoine Lejay & Paolo Pigato, 2017. "A threshold model for local volatility: evidence of leverage and mean reversion effects on historical data," Papers 1712.08329, arXiv.org, revised Feb 2019.
- Antoine Lejay & Paolo Pigato, 2019. "A threshold model for local volatility: evidence of leverage and mean reversion effects on historical data," Post-Print hal-01669082, HAL.
- Brockwell, P. J. & Hyndman, R. J., 1992. "On continuous-time threshold autoregression," International Journal of Forecasting, Elsevier, vol. 8(2), pages 157-173, October.
- Bai, Jushan, 1997.
"Estimating Multiple Breaks One at a Time,"
Econometric Theory, Cambridge University Press, vol. 13(3), pages 315-352, June.
- Jushan Bai, 1995. "Estimating Multiple Breaks One at a Time," Working papers 95-18, Massachusetts Institute of Technology (MIT), Department of Economics.
- Vaart,A. W. van der, 2000. "Asymptotic Statistics," Cambridge Books, Cambridge University Press, number 9780521784504, June.
- Chan, K C, et al, 1992.
"An Empirical Comparison of Alternative Models of the Short-Term Interest Rate,"
Journal of Finance, American Finance Association, vol. 47(3), pages 1209-1227, July.
- Tom Doan, "undated". "RATS programs to replicate CKLS(1992) estimation of interest rate models," Statistical Software Components RTZ00035, Boston College Department of Economics.
- Jushan Bai & Pierre Perron, 1998.
"Estimating and Testing Linear Models with Multiple Structural Changes,"
Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
- Perron, P. & Bai, J., 1995. "Estimating and Testing Linear Models with Multiple Structural Changes," Cahiers de recherche 9552, Universite de Montreal, Departement de sciences economiques.
- Perron, P. & Bai, J., 1995. "Estimating and Testing Linear Models with Multiple Structural Changes," Cahiers de recherche 9552, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
- Hansen, Bruce E., 1999.
"Threshold effects in non-dynamic panels: Estimation, testing, and inference,"
Journal of Econometrics, Elsevier, vol. 93(2), pages 345-368, December.
- Bruce E. Hansen, 1997. "Threshold effects in non-dynamic panels: Estimation, testing and inference," Boston College Working Papers in Economics 365, Boston College Department of Economics.
- Tom Doan, "undated". "RATS programs to replicate Hansen's example of threshold break in panel data," Statistical Software Components RTZ00088, Boston College Department of Economics.
- Tom Doan, "undated". "PANELTHRESH: RATS procedure to analyze up to two threshold breaks in a fixed effects panel model," Statistical Software Components RTS00152, Boston College Department of Economics.
- Fei Su & Kung-Sik Chan, 2017. "Testing for Threshold Diffusion," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 35(2), pages 218-227, April.
- Antoine Lejay & Paolo Pigato, 2020. "Maximum likelihood drift estimation for a threshold diffusion," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 47(3), pages 609-637, September.
- Coakley, Jerry & Fuertes, Ana-Maria & Perez, Maria-Teresa, 2003.
"Numerical issues in threshold autoregressive modeling of time series,"
Journal of Economic Dynamics and Control, Elsevier, vol. 27(11-12), pages 2219-2242, September.
- Coakley, Jerry & Fuertes, Ana-Marı́a & Pérez, Marı́a-Teresa, 2003. "Numerical issues in threshold autoregressive modeling of time series," Journal of Economic Dynamics and Control, Elsevier, vol. 27(11), pages 2219-2242.
- Su, Fei & Chan, Kung-Sik, 2015. "Quasi-likelihood estimation of a threshold diffusion process," Journal of Econometrics, Elsevier, vol. 189(2), pages 473-484.
- Asmussen, Soren & Taksar, Michael, 1997. "Controlled diffusion models for optimal dividend pay-out," Insurance: Mathematics and Economics, Elsevier, vol. 20(1), pages 1-15, June.
- Marc Decamps & Marc Goovaerts & Wim Schoutens, 2006. "Self Exciting Threshold Interest Rates Models," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 9(07), pages 1093-1122.
- Yury Kutoyants, 2012. "On identification of the threshold diffusion processes," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 64(2), pages 383-413, April.
- Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
- Kailin Ding & Zhenyu Cui & Yongjin Wang, 2021. "A Markov chain approximation scheme for option pricing under skew diffusions," Quantitative Finance, Taylor & Francis Journals, vol. 21(3), pages 461-480, March.
- Chiou, Yan-Yu & Chen, Mei-Yuan & Chen, Jau-er, 2018. "Nonparametric regression with multiple thresholds: Estimation and inference," Journal of Econometrics, Elsevier, vol. 206(2), pages 472-514.
- Yan-Yu Chiou & Mei-Yuan Chen & Jau-er Chen, 2017. "Nonparametric Regression with Multiple Thresholds: Estimation and Inference," Papers 1705.09418, arXiv.org, revised Feb 2018.
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Keywords
Stochastic differential equation; Threshold Ornstein–Uhlenbeck process; Sequential method; Least squares estimator;All these keywords.
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