The structure of self-similar stable mixed moving averages
From MaRDI portal
Publication:1872279
DOI10.1214/aop/1023481011zbMath1016.60057OpenAlexW2108545098MaRDI QIDQ1872279
Murad S. Taqqu, Vladas Pipiras
Publication date: 6 May 2003
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1023481011
cocyclessemi-additive functionsdissipative and conservative flowsstable self-similar processes with stationary increments
Stationary stochastic processes (60G10) Self-similar stochastic processes (60G18) Stable stochastic processes (60G52)
Related Items (19)
Stable stationary processes related to cyclic flows. ⋮ On overload in a storage model, with a self-similar and infinitely divisible input. ⋮ Nonminimal sets, their projections and integral representations of stable processes ⋮ Random rewards, fractional Brownian local times and stable self-similar processes ⋮ A Berry-Esseén theorem for partial sums of functionals of heavy-tailed moving averages ⋮ A minimal contrast estimator for the linear fractional stable motion ⋮ A functional non-central limit theorem for multiple-stable processes with long-range dependence ⋮ Can continuous-time stationary stable processes have discrete linear representations? ⋮ Long memory and self-similar processes ⋮ Maxima of stable random fields, nonsingular actions and finitely generated abelian groups: a survey ⋮ Random-time isotropic fractional stable fields ⋮ On the association of sum- and max-stable processes ⋮ Estimation of the linear fractional stable motion ⋮ On the structure and representations of max-stable processes ⋮ Stochastic integral representations and classification of sum- and max-infinitely divisible processes ⋮ Identification of periodic and cyclic fractional stable motions ⋮ Decomposability for stable processes ⋮ Decomposition of discrete time periodically correlated and multivariate stationary symmetric stable processes ⋮ Scaling properties of the empirical structure function of linear fractional stable motion and estimation of its parameters
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Log-fractional stable processes
- Ergodic theorems. With a supplement by Antoine Brunel
- Characterization of linear and harmonizable fractional stable motions
- Stable mixed moving averages
- The limit of a renewal reward process with heavy-tailed rewards is not a linear fractional stable motion
- Dilated fractional stable motions
- Decomposition of self-similar stable mixed moving averages
- On the structure of stationary stable processes
- \((1/\alpha)\)-self similar \(\alpha\)-stable processes with stationary increments
- Integral-geometric construction of self-similar stable processes
- Construction of stationary self-similar generalized fields by random wavelet expansion
This page was built for publication: The structure of self-similar stable mixed moving averages