Turkish Journal of Mathematics
DOI
10.3906/mat-0906-31
Abstract
One of most important problems concerning the ARFIMA time series model is the estimation of fractional parameter d. Various methods have been used to solve this problem, such as the log-periodogram regression of a process. In this article we propose two jackknife and bootstrap methods, which aid in the estimation of fractional parameter d. These methods involve non-overlapping blocks and moving blocks with random starting point and length. We have conducted several simulations and the results show that the estimations obtained are very close to the real parameter value.
Keywords
Jackknife, bootstrap, fractionally parameter, ARFIMA model, moving blocks, non overlapping blocks
First Page
151
Last Page
158
Recommended Citation
EKONOMI, LORENC and BUTKA, ARGJIR
(2011)
"Jackknife and bootstrap with cycling blocks for the estimation of fractional parameter in ARFIMA model,"
Turkish Journal of Mathematics: Vol. 35:
No.
1, Article 12.
https://doi.org/10.3906/mat-0906-31
Available at:
https://journals.tubitak.gov.tr/math/vol35/iss1/12
