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Characterization of linear and harmonizable fractional stable motions

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Publication:1193401
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DOI10.1016/0304-4149(92)90028-OzbMath0757.60033OpenAlexW2018960873MaRDI QIDQ1193401

Makoto Maejima, Stamatis Cambanis, Gennady Samorodnitsky

Publication date: 27 September 1992

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(92)90028-o


zbMATH Keywords

moving averagesstationary incrementsself-similar stable processesharmonizable fractional stable motions


Mathematics Subject Classification ID

Self-similar stochastic processes (60G18)


Related Items

The structure of self-similar stable mixed moving averages ⋮ FARIMA with stable innovations model of Great Salt Lake elevation time series ⋮ Decomposability for stable processes



Cites Work

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  • Two classes of self-similar stable processes with stationary increments
  • Sample path properties of self-similar processes with stationary increments
  • The L p Norm of Sums of Translates of a Function
  • Infinite variance self-similar processes subordinate to a poisson measure
  • Fractional Brownian Motions, Fractional Noises and Applications
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