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A short note on a class of statistics for estimation of the Hurst index of fractional Brownian motion
- Publication Year :
- 2016
- Publisher :
- arXiv, 2016.
-
Abstract
- We propose some class of statistics suitable for estimation of the Hurst index of the fractional Brownian motion based on the second order increments of an observed discrete trajectory.<br />Comment: 4 pages
- Subjects :
- Statistics and Probability
Rescaled range
Hurst exponent
Class (set theory)
Fractional Brownian motion
010102 general mathematics
Probability (math.PR)
01 natural sciences
010104 statistics & probability
Mathematics::Probability
Consistent estimator
Statistics
Detrended fluctuation analysis
Trajectory
FOS: Mathematics
0101 mathematics
Statistics, Probability and Uncertainty
Mathematics - Probability
Central limit theorem
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....e581b863a66e31546eba5fc82b943959
- Full Text :
- https://doi.org/10.48550/arxiv.1607.08202