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Short and Long Memory Fractional Ornstein-Uhlenbeck α-Stable Processes

Short and Long Memory Fractional Ornstein-Uhlenbeck α-Stable Processes

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_pascalfrancis_primary_18987540

Short and Long Memory Fractional Ornstein-Uhlenbeck α-Stable Processes

About this item

Full title

Short and Long Memory Fractional Ornstein-Uhlenbeck α-Stable Processes

Author / Creator

Publisher

Philadelphia, PA: Taylor & Francis Group

Journal title

Stochastic models, 2007-07, Vol.23 (3), p.451-473

Language

English

Formats

Publication information

Publisher

Philadelphia, PA: Taylor & Francis Group

More information

Scope and Contents

Contents

We show that, similar to the Gaussian case, the fractional Ornstein-Uhlenbeck α-stable process obtained via the Lamperti transformation of the linear fractional stable motion is a different stationary process than the one defined as the solution of the Langevin equation driven by a linear fractional stable noise. We investigate the asymptotic depen...

Alternative Titles

Full title

Short and Long Memory Fractional Ornstein-Uhlenbeck α-Stable Processes

Authors, Artists and Contributors

Author / Creator

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_pascalfrancis_primary_18987540

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_pascalfrancis_primary_18987540

Other Identifiers

ISSN

1532-6349

E-ISSN

1532-4214

DOI

10.1080/15326340701471091

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