Testing for Integer Integration in Functional Time Series
Abstract
We develop a statistical testing procedure to examine whether the curve-valued time series of interest is integrated of order d for a nonnegative integer d. The proposed procedure can distinguish between integer-integrated time series and fractionally-integrated ones, and it has broad applicability in practice. Monte Carlo simulation experiments show that the proposed testing procedure performs reasonably well. We apply our methodology to Canadian yield curve data and French sub-national age-specific mortality data. We find evidence that these time series are mostly integrated of order one, while some have fractional orders exceeding or falling below one.
Fields of Study & Subjects
Financial Risk and Volatility Modeling
Complex Systems and Time Series Analysis
Insurance
Mortality
Demography
Risk Management
Publication details
- Journal / source
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Pages
- 1–13
- Publication date
- 10 April 2026
- Language
- EN