Fractional Poisson process. II

DOI10.1016/j.chaos.2005.05.019zbMath1086.60022OpenAlexW2030857258MaRDI QIDQ813596

Xiao-Tian Wang, Shi-Ying Zhang, Zhi Xiong Wen

Publication date: 13 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.05.019

zbMATH Keywords

Long-range dependenceContinuous sample pathsWide-sense selfsimilar processesWide-sense stationary increments

Mathematics Subject Classification ID

Sample path properties (60G17) Stochastic integrals (60H05) Self-similar stochastic processes (60G18)

Related Items (12)

The fractional non-homogeneous Poisson process ⋮ On the fractional Poisson process and the discretized stable subordinator ⋮ Parameter estimation for a discrete time model driven by fractional Poisson process ⋮ Fractional pure birth processes ⋮ Large deviations for fractional Poisson processes ⋮ The on-off network traffic model under intermediate scaling ⋮ Simulation and estimation for the fractional Yule process ⋮ Parameter estimation for fractional Poisson processes ⋮ FRACTIONAL PROCESSES: FROM POISSON TO BRANCHING ONE ⋮ Recent developments on fractional point processes ⋮ Donsker type theorem for fractional Poisson process ⋮ Fractional Poisson fields

Cites Work

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• Scale relativity and fractal space-time: applications to quantum physics, cosmology and chaotic systems.
• From classical mechanics to unitary propagation without quantization.
• Nonlinear dynamics and infinite dimensional topology in high energy particle physics.
• On some possible generalizations of fractional Brownian motion.
• Exotic statistical physics: applications to biology, medicine, and economics
• Elements for a theory of financial risks
• Fractional master equation: Non-standard analysis and Liouville-Riemann derivative
• Fractional (space-time) Fokker-Planck equation
• Asymptotic properties of the fractional Brownian motion of Riemann-Liouville type
• FRACTAL APPROACHES IN SIGNAL PROCESSING
• The central limit theorem for the Poisson shot-noise process
• Fractional Brownian Motions, Fractional Noises and Applications

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