On optimal scale upper bound in wavelet-based estimation for hurst index of fractional Brownian motion
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Publication:5756374
DOI10.1080/09720502.2005.10700402zbMath1193.62152OpenAlexW2035965427MaRDI QIDQ5756374
Hiroyoshi Morita, Shuhji Kawasaki
Publication date: 4 September 2007
Published in: Journal of Interdisciplinary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/09720502.2005.10700402
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Central limit and other weak theorems (60F05) Markov processes: estimation; hidden Markov models (62M05)
Cites Work
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- A noncentral limit theorem for quadratic forms of Gaussian stationary sequences
- Efficient parameter estimation for self-similar processes
- Central limit theorems for non-linear functionals of Gaussian fields
- Central limit theorems for quadratic forms in random variables having long-range dependence
- Large-sample properties of parameter estimates for strongly dependent stationary Gaussian time series
- Applied mathematics meets signal processing.
- Variance-type estimation of long memory
- Log-periodogram regression of time series with long range dependence
- Gaussian semiparametric estimation of long range dependence
- THE ESTIMATION AND APPLICATION OF LONG MEMORY TIME SERIES MODELS
- An Estimate of the Fractal Index Using Multiscale Aggregates
- Wavelet analysis and synthesis of fractional Brownian motion
- Ten Lectures on Wavelets
- Wavelet analysis of long-range-dependent traffic
- On estimating the spectral exponent of fractional Brownian motion
- Wavelet estimator of long-range dependent processes.
- Estimating the parameters of a fractional Brownian motion by discrete variations of its sample paths
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