On fractional Lévy processes: tempering, sample path properties and stochastic integration
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Publication:2302689
DOI10.1007/s10955-019-02475-1zbMath1447.60069arXiv1910.00660OpenAlexW3000648741MaRDI QIDQ2302689
B. Cooper Boniece, Gustavo Didier, Farzad Sabzikar
Publication date: 26 February 2020
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.00660
Processes with independent increments; Lévy processes (60G51) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Central limit and other weak theorems (60F05) Fractional processes, including fractional Brownian motion (60G22) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Stochastic integrals (60H05)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Tempered stable distributions and processes
- Tempered Hermite process
- Stochastic integration for tempered fractional Brownian motion
- Asymptotic behavior of the Whittle estimator for the increments of a Rosenblatt process
- Ergodic properties of anomalous diffusion processes
- On path properties of certain infinitely divisible processes
- Lévy driven moving averages and semimartingales
- Tempered stable Lévy motion and transient super-diffusion
- Tempering stable processes
- A wavelet Whittle estimator of the memory parameter of a nonstationary Gaussian time series
- Stochastic calculus for convoluted Lévy processes
- Spectral representations of infinitely divisible processes
- Integration questions related to fractional Brownian motion
- Identification and properties of real harmonizable fractional Lévy motions
- Generalized Langevin equation with tempered memory kernel
- Localization and ballistic diffusion for the tempered fractional Brownian-Langevin motion
- Tempered fractional Brownian and stable motions of second kind
- Stochastic modeling in nanoscale biophysics: subdiffusion within proteins
- Tempered fractional Brownian motion
- Diffusion and Fokker-Planck-Smoluchowski equations with generalized memory kernel
- Gaussian moving averages, semimartingales and option pricing.
- Fractional Lévy processes with an application to long memory moving average processes
- Tempered fractional Brownian motion: wavelet estimation, modeling and testing
- Generalized fractional Lévy processes with fractional Brownian motion limit
- Infinite Variation Tempered Stable Ornstein–Uhlenbeck Processes with Discrete Observations
- Generalized tempered stable processes
- Fluid heterogeneity detection based on the asymptotic distribution of the time-averaged mean squared displacement in single particle tracking experiments
- Maximal Inequalities for Fractional Lévy and Related Processes
- Conditional Distributions of Mandelbrot–van ness Fractional LÉVY Processes and Continuous‐Time ARMA–GARCH‐Type Models with Long Memory
- Time Change, Volatility, and Turbulence
- Von Kármán's Work: The Later Years (1952 to 1963) and Legacy
- Time-Domain Methods for Diffusive Transport in Soft Matter
- Models for non-Gaussian variation, with applications to turbulence
- AN INTRODUCTION TO LONG-MEMORY TIME SERIES MODELS AND FRACTIONAL DIFFERENCING
- Wavelet analysis and synthesis of fractional Brownian motion
- Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
- Weak convergence to fractional brownian motion and to the rosenblatt process
- Convergence of integrated processes of arbitrary Hermite rank
- Non-central limit theorems for non-linear functional of Gaussian fields
- Normal Inverse Gaussian Distributions and Stochastic Volatility Modelling
- Stochastic Process with Ultraslow Convergence to a Gaussian: The Truncated Lévy Flight
- Resonant behavior of the generalized Langevin system with tempered Mittag–Leffler memory kernel
- Bifurcation dynamics of the tempered fractional Langevin equation
- Long-Memory Processes
- STATIONARY ARCH MODELS: DEPENDENCE STRUCTURE AND CENTRAL LIMIT THEOREM
- Gamma Kernels and BSS/LSS Processes
- Wavelet estimation of the long memory parameter for Hermite polynomial of Gaussian processes
- A Least Squares Estimator for Lévy-driven Moving Averages Based on Discrete Time Observations
- Long-Range Dependence and Self-Similarity
- Statistical challenges in microrheology
- Fractional Brownian Motions, Fractional Noises and Applications
- Progress in the Statistical Theory of Turbulence
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- Stochastic differential equations. An introduction with applications.
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