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Karhunen–Loève expansions of Lévy processes

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Publication:5075482
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DOI10.1080/03610926.2017.1400057OpenAlexW2963238611MaRDI QIDQ5075482

Daniel Hackmann

Publication date: 16 May 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00677


zbMATH Keywords

simulationinfinitely divisibleFourier seriesLévy processKarhunen-Loèveshot-noise


Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51)


Related Items (1)

Numerical aspects of shot noise representation of infinitely divisible laws and related processes



Cites Work

  • Tempering stable processes
  • On series representations of infinitely divisible random vectors
  • Karhunen-Loève expansion for a generalization of Wiener bridge
  • Lévy matters III. Lévy-type processes: construction, approximation and sample path properties
  • An Automatic Method for Generating Random Variates with a Given Characteristic Function
  • An Explicit Representation of a Stationary Gaussian Process
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