Abstract
Semiparametric spectral methods are valuable in that they yield inference on time series under very broad assumptions. This contribution analyzes the averaged periodogram statistic in the framework of a generalized linear process with (possibly long memory) conditional heteroscedasticity in the innovations. It is shown that the averaged periodogram statistic is appropriate for asymptotically normal estimation of the spectrum of a weakly dependent process at frequency zero and for consistent estimation of long memory and stationary cointegration in strongly dependent processes.
| Translated title of the contribution | Spectral estimatioin with long memory conditional heteroscedasticity |
|---|---|
| Original language | French |
| Pages (from-to) | 811-814 |
| Number of pages | 4 |
| Journal | Comptes Rendus de l'Academie des Sciences - Series I: Mathematics |
| Volume | 329 |
| Issue number | 9 |
| DOIs | |
| State | Published - 1999 |
All Science Journal Classification (ASJC) codes
- General Mathematics