We propose the Gaussian quasi-maximum likelihood estimator (QMLE) to detect and locate multiple volatility shifts. Our Gaussian QMLE is shown to be consistent under suitable conditions and the rate of convergence is provided. It is also shown that the binary segmentation procedure provides a consistent estimation for the number of volatility shifts.
- Change point analysis
- Quasi-maximum likelihood estimation
- Volatility shifts
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty