Asymmetric power GARCH models have been widely used to study the higher order moments of financial returns, while their quantile estimation has been rarely investigated. This paper introduces a simple monotonic transformation on its conditional quantile function to make the quantile regression tractable. The asymptotic normality of the resulting quantile estimators is established under either stationarity or non-stationarity. Moreover, based on the estimation procedure, new tests for strict stationarity and asymmetry are also constructed. This is the first try of the quantile estimation for non-stationary ARCH-type models in the literature. The usefulness of the proposed methodology is illustrated by simulation results and real data analysis. Copyright © 2020 Elsevier B.V. All rights reserved.
CitationWang, G., Zhu, K., Li, G., & Li, W. K. (2022). Hybrid quantile estimation for asymmetric power GARCH models. Journal of Econometrics, 277(1), 264-284. doi: 10.1016/j.jeconom.2020.05.005
- Asymmetric power GARCH
- Asymmetry testing
- Quantile estimation
- Strict stationarity testing