Conference PaperWe study <i>fractional Brownian motions in multifractal time</i>, a model for multifractal processes proposed recently in the context of economics. Our interest focuses on the statistical properties of the wavelet decomposition of these processes, such as residual correlations (LRD) and stationarity, which are instrumental towards computing the statistics of wavelet-based estimators of the multifractal spectrum
AbstractThe multifractional Brownian motion (MBM) processes are locally self-similar Gaussian proces...
We study the functional link between the Hurst parameter and the Normalized Total Wavelet Entropy wh...
We show how wavelet techniques allow to derive irregularity properties of functions on two particula...
Conference PaperThe multifractal spectrum characterizes the scaling and singularity structures of si...
The multifractal spectrum characterizes the scaling and singularity structures of signals and proves...
The work developed in the paper concerns the multivariate fractional Brownian motion (mfBm) viewed t...
International audienceThe work developed in the paper concerns the multivariate fractional Brownian ...
We attempt empirical detection and characterization of power laws in financial time series. Fraction...
- Nous étudions le mouvement Brownien fractionnaire en temps multifractal, un modèle de processus mu...
In this contribution, we study the notion of affine invariance (specifically, invariance to the shif...
This article is dedicated for Fractal Brownian process analysis using Continuous Wavelet Transform (...
According to research results, Wavelet coecients of Fractal Brownian process upper interval bound de...
International audienceSince the pioneering work by Mandelbrot and Van Ness in 1968, the fractional B...
This paper considers the situation where a stochastic process may display both long-range dependence...
In current research, Fractal Brownian motion is analyzed using Direct and Inverse Continuous Wavelet...
AbstractThe multifractional Brownian motion (MBM) processes are locally self-similar Gaussian proces...
We study the functional link between the Hurst parameter and the Normalized Total Wavelet Entropy wh...
We show how wavelet techniques allow to derive irregularity properties of functions on two particula...
Conference PaperThe multifractal spectrum characterizes the scaling and singularity structures of si...
The multifractal spectrum characterizes the scaling and singularity structures of signals and proves...
The work developed in the paper concerns the multivariate fractional Brownian motion (mfBm) viewed t...
International audienceThe work developed in the paper concerns the multivariate fractional Brownian ...
We attempt empirical detection and characterization of power laws in financial time series. Fraction...
- Nous étudions le mouvement Brownien fractionnaire en temps multifractal, un modèle de processus mu...
In this contribution, we study the notion of affine invariance (specifically, invariance to the shif...
This article is dedicated for Fractal Brownian process analysis using Continuous Wavelet Transform (...
According to research results, Wavelet coecients of Fractal Brownian process upper interval bound de...
International audienceSince the pioneering work by Mandelbrot and Van Ness in 1968, the fractional B...
This paper considers the situation where a stochastic process may display both long-range dependence...
In current research, Fractal Brownian motion is analyzed using Direct and Inverse Continuous Wavelet...
AbstractThe multifractional Brownian motion (MBM) processes are locally self-similar Gaussian proces...
We study the functional link between the Hurst parameter and the Normalized Total Wavelet Entropy wh...
We show how wavelet techniques allow to derive irregularity properties of functions on two particula...