Abstract
The time-average variance constant (TAVC) has been an important component in the study of time series. Many real problems request a fast and recursive way in estimating TAVC. In this paper we apply AR(1) prewhitening filter to the recursive algorithm by Wu (2009b), so that the memory complexity of order O(1) is maintained and the accuracy of the estimate is improved. This is justified by both theoretical results and simulation studies.
Original language | English |
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Pages (from-to) | 30-37 |
Number of pages | 8 |
Journal | Statistics and Probability Letters |
Volume | 114 |
DOIs | |
Publication status | Published - 1 Jul 2016 |
Externally published | Yes |
Keywords
- Central limit theorem
- Consistency
- Martingale
- Prewhitening
- Recursive estimation
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty