REGRESSION WITH NONSTATIONARY VOLATILITY

• 成果类型: Article
• 署名作者: HANSEN, BE
• 刊物名称: ECONOMETRICA
• ISSN/ISSBN: 0012-9682
• DOI: 10.2307/2171723
• 发表日期: 1995
• 页码: 1113-1132
• 关键词: DEPENDENT HETEROGENEOUS PROCESSES; stochastic volatility; CURRENCY OPTIONS; LIMIT-THEOREMS; models; INTEGRALS

摘要

A new asymptotic theory of regression is introduced for possibly nonstationary time series. The regressors are assumed to be generated by a linear process with martingale difference innovations. The conditional variances of these martingale differences are specified as autoregressive stochastic volatility processes, with autoregressive roots which are local to unity. We find conditions under which the least squares estimates are consistent and asymptotically normal. A simple adaptive estimator is proposed which achieves the same asymptotic distribution as the generalized least squares estimator, without requiring parametric assumptions for the stochastic volatility process.