Statistical tests of heterogeneity for anisotropic multifractional Brownian fields
DOI10.1016/j.spa.2020.01.012zbMath1445.60035OpenAlexW3002126015MaRDI QIDQ2186643
Huong T. L. Vu, Frédéric J. P. Richard
Publication date: 9 June 2020
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spa.2020.01.012
heterogeneityanisotropystatistical testquadratic variationsanisotropic fractional Brownian fieldmultifractional Brownian field
Random fields (60G60) Random fields; image analysis (62M40) Fractional processes, including fractional Brownian motion (60G22) Markov processes: estimation; hidden Markov models (62M05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Central limit theorems and quadratic variations in terms of spectral density
- Multi-operator scaling random fields
- Identification of multifractional Brownian motion
- Operator scaling stable random fields
- A central limit theorem for the generalized quadratic variation of the step fractional Brownian motion
- Identifying the multifractional function of a Gaussian process
- Elliptic Gaussian random processes
- Quadratic variations and estimation of the local Hölder index of a Gaussian process
- Anisotropic analysis of some Gaussian models
- Identification and properties of real harmonizable fractional Lévy motions
- Identification of filtered white noises
- Tangent fields and the local structure of random fields
- Fractional fields and applications
- Anisotropy of Hölder Gaussian random fields: characterization, estimation, and application to image textures
- On the identification of the pointwise Hölder exponent of the generalized multifractional Brownian motion
- EXPLICIT CONSTRUCTION OF OPERATOR SCALING GAUSSIAN RANDOM FIELDS
- Analysis of Texture Anisotropy Based on Some Gaussian Fields with Spectral Density
- Geostatistics
- The intrinsic random functions and their applications
- Estimation of anisotropic Gaussian fields through Radon transform
- Fractional Brownian Motions, Fractional Noises and Applications
- Tests of isotropy for rough textures of trended images
- Identification of the Hurst index of a step fractional Brownian motion
- Estimating the parameters of a fractional Brownian motion by discrete variations of its sample paths
This page was built for publication: Statistical tests of heterogeneity for anisotropic multifractional Brownian fields