PATHWISE IDENTIFICATION OF THE MEMORY FUNCTION OF MULTIFRACTIONAL BROWNIAN MOTION WITH APPLICATION TO FINANCE
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Publication:4675938
DOI10.1142/S0219024905002937zbMath1100.91037OpenAlexW2027966395MaRDI QIDQ4675938
Publication date: 6 May 2005
Published in: International Journal of Theoretical and Applied Finance (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219024905002937
Fractional processes, including fractional Brownian motion (60G22) Economic time series analysis (91B84) Brownian motion (60J65) Financial applications of other theories (91G80)
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Cites Work
- Unnamed Item
- Unnamed Item
- A multivariate version of Hoeffding's inequality
- Smoothed periodogram asymptotics and estimation for processes and fields with possible long-range dependence
- Construction of continuous functions with prescribed local regularity
- Stock market prices and long-range dependence
- On the relationship between fractal dimension and fractal index for stationary stochastic processes
- Quadratic variations and estimation of the local Hölder index of a Gaussian process
- Identification of filtered white noises
- Gaussian semiparametric estimation of long range dependence
- FRACTAL APPROACHES IN SIGNAL PROCESSING
- ESTIMATORS FOR LONG-RANGE DEPENDENCE: AN EMPIRICAL STUDY
- Weak convergence to fractional brownian motion and to the rosenblatt process
- Non-central limit theorems for non-linear functional of Gaussian fields
- Long-Term Memory in Stock Market Prices
- ESTIMATION OF FRACTAL INDEX AND FRACTAL DIMENSION OF A GAUSSIAN PROCESS BY COUNTING THE NUMBER OF LEVEL CROSSINGS
- On the performance of box-counting estimators of fractal dimension
- An analysis of variance test for normality (complete samples)
- Fractional Brownian Motions, Fractional Noises and Applications
- The generalized multifractional Brownian motion
- Estimating the parameters of a fractional Brownian motion by discrete variations of its sample paths
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