Implementations of Hurst exponent estimators based on the relationship between wavelet lifting scales and wavelet energy
Marina Knight, Guy Nason, Matt Nunes
Maintainer: Matt Nunes <nunesrpackages@gmail.com>
This package exploits a wavelet transform for irregularly spaced data to form wavelet-like scale-based energy measures for a time series. This is then used to estimate the Hurst exponent. The main routine is
liftHurst
Knight, M. I, Nason, G. P. and Nunes, M. A. (2017) A wavelet lifting approach to long-memory estimation. Stat. Comput. 27 (6), 1453--1471. DOI 10.1007/s11222-016-9698-2.
For related literature on the lifting methodology adopted in the technique, see
Nunes, M. A., Knight, M. I and Nason, G. P. (2006) Adaptive lifting for nonparametric regression. Stat. Comput. 16 (2), 143--159.
Knight, M. I. and Nason, G. P. (2009) A 'nondecimated' wavelet transform. Stat. Comput. 19 (1), 1--16.
For more information on long-memory processes, see e.g.
Beran, J. et al. (2013) Long-memory processes. Springer.