Concepedia

Antoine Ayache

AA

Statistics

Publications

20

Citations

897

H-Index

15

Active since

1999

Affiliations

Centre National de la Recherche Scientifique(Current)

Laboratoire Paul Painlevé

Université de Lille

Institut national de recherche en sciences et technologies du numérique

Université Toulouse III - Paul Sabatier

Antoine Ayache is an author at Centre National de la Recherche Scientifique specializing in engineering, statistics, and probability theory.

Top concepts

EngineeringStatisticsProbabilityBrownian MotionStochastic ProcessesSignal ProcessingFunctional AnalysisMultiscale ModelingApproximation TheoryStability

Publications per year

1999–2019

20

Publications

20

The Generalized Multifractional Brownian Motion

Antoine Ayache, Jacques Lévy Véhel · Statistical Inference for Stochastic Processes · 2000 · 112 citations

The covariance structure of multifractional Brownian motion, with application to long range dependence

Antoine Ayache, Serge Cohen, Jacques Lévy Véhel · 2002 · 112 citations · Full text

Engineering, Gaussian Process, Stochastic Dynamical System +12

Prostate cancer characterization on MR images using fractal features

Renaud Lopes, Antoine Ayache, N. Makni et al. · Medical Physics · 2010 · 106 citations

On the identification of the pointwise Hölder exponent of the generalized multifractional Brownian motion

Antoine Ayache, Jacques Lévy Véhel · Stochastic Processes and their Applications · 2004 · 86 citations · Full text

Engineering, Integrable Probability, Stochastic Processes +6

Asymptotic Properties and Hausdorff Dimensions of Fractional Brownian Sheets

Antoine Ayache, Yimin Xiao · Journal of Fourier Analysis and Applications · 2005 · 86 citations

Fractional Brownian Sheets, Brownian Motion, Fractional Stochastics

1–5 of 20