Stable mixed moving averages
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Publication:1326263
DOI10.1007/BF01192963zbMath0794.60026MaRDI QIDQ1326263
Stamatis Cambanis, Donatas Surgailis, Jan Rosiński, Vidyadhar Mandrekar
Publication date: 15 August 1994
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
spectral representationmixing measuremixed moving averagesstable moving average processesreflection positivity property
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Cites Work
- Unnamed Item
- On stable Markov processes
- Ergodic properties of stationary stable processes
- The spectral representation of stable processes: Harmonizability and regularity
- On the spectral representation of symmetric stable processes
- A generalization of Markov processes
- Positive definite kernels, continuous tensor products, and central limit theorems of probability theory
- The L p Norm of Sums of Translates of a Function
- Gaussian OS-positive processes
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