Fractional Poisson field and fractional Brownian field: why are they resembling but different?

DOI10.1214/ECP.V18-1939zbMath1319.60105MaRDI QIDQ742972

Yann Demichel, Anne Estrade, Hermine Biermé

Publication date: 22 September 2014

Published in: Electronic Communications in Probability (Search for Journal in Brave)

zbMATH Keywords

Hurst indexPoisson random measurefractional Brownian fieldfractional Poisson fieldChentsov field

Mathematics Subject Classification ID

Random fields (60G60) Random fields; image analysis (62M40) Fractional processes, including fractional Brownian motion (60G22) Point estimation (62F10) Random measures (60G57) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (3)

The fractional non-homogeneous Poisson process ⋮ Generalized operator-scaling random ball model ⋮ A generalisation of the fractional Brownian field based on non-Euclidean norms

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