Nonhomogeneous fractional integration and multifractional processes
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- Antoine Ayache & Jacques Vehel, 2000. "The Generalized Multifractional Brownian Motion," Statistical Inference for Stochastic Processes, Springer, vol. 3(1), pages 7-18, January.
- Ayache, Antoine & Lévy Véhel, Jacques, 2004. "On the identification of the pointwise Hölder exponent of the generalized multifractional Brownian motion," Stochastic Processes and their Applications, Elsevier, vol. 111(1), pages 119-156, May.
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Cited by:
- Loosveldt, L., 2023. "Multifractional Hermite processes: Definition and first properties," Stochastic Processes and their Applications, Elsevier, vol. 165(C), pages 465-500.
- Bardet, Jean-Marc & Surgailis, Donatas, 2013. "Nonparametric estimation of the local Hurst function of multifractional Gaussian processes," Stochastic Processes and their Applications, Elsevier, vol. 123(3), pages 1004-1045.
- Aloy Marcel & Dufrénot Gilles & Tong Charles Lai & Peguin-Feissolle Anne, 2013.
"A smooth transition long-memory model,"
Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 17(3), pages 281-296, May.
- Marcel Aloy & Gilles Dufrénot & Charles Lai Tong & Anne Péguin-Feissolle, 2012. "A Smooth Transition Long-Memory Model," AMSE Working Papers 1240, Aix-Marseille School of Economics, France, revised Dec 2012.
- Marcel Aloy & Gilles Dufrénot & Charles Lai-Tong & Anne Peguin-Feissolle, 2013. "A smooth transition long-memory model," Post-Print hal-01498270, HAL.
- Marcel Aloy & Gilles Dufrenot & Charles Lai-Tong & Anne Peguin-Feissolle, 2012. "A Smooth Transition Long-Memory Model," Working Papers halshs-00793680, HAL.
- Loboda, Dennis & Mies, Fabian & Steland, Ansgar, 2021. "Regularity of multifractional moving average processes with random Hurst exponent," Stochastic Processes and their Applications, Elsevier, vol. 140(C), pages 21-48.
- Antoine Ayache, 2013. "Continuous Gaussian Multifractional Processes with Random Pointwise Hölder Regularity," Journal of Theoretical Probability, Springer, vol. 26(1), pages 72-93, March.
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Keywords
Liouville fractional operators Long-range dependence Multifractional Brownian motion Nonhomogeneous fractional integration Scaling limits;Statistics
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