Fast calibration of weak FARIMA models
Abstract
In this paper, we investigate the asymptotic properties of Le Cam's one-step estimator for weak Fractionally AutoRegressive Integrated Moving-Average (FARIMA) models. For these models, noises are uncorrelated but neither necessarily independent nor martingale differences errors. We show under some regularity assumptions that the one-step estimator is strongly consistent and asymptotically normal with the same asymptotic variance as the least squares estimator. We show through simulations that the proposed estimator reduces computational time compared with the least squares estimator. An application for providing remotely computed indicators for time series is proposed.
Cite
@article{arxiv.2206.09982,
title = {Fast calibration of weak FARIMA models},
author = {Samir Ben Hariz and Alexandre Brouste and Youssef Esstafa and Marius Soltane},
journal= {arXiv preprint arXiv:2206.09982},
year = {2022}
}
Comments
26 pages, 5 figures. arXiv admin note: text overlap with arXiv:1910.07213