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- W2969384473 abstract "The so-called supOU processes, namely the superpositions of Ornstein–Uhlenbeck type processes, are stationary processes for which one can specify separately the marginal distribution and the temporal dependence structure. They can have finite or infinite variance. We study the limit behavior of integrated infinite variance supOU processes adequately normalized. Depending on the specific circumstances, the limit can be fractional Brownian motion but it can also be a process with infinite variance, a Levy stable process with independent increments or a stable process with dependent increments. We show that it is even possible to have infinite variance integrated supOU processes converging to processes whose moments are all finite. A number of examples are provided." @default.
- W2969384473 created "2019-08-29" @default.
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- W2969384473 date "2019-08-22" @default.
- W2969384473 modified "2023-09-24" @default.
- W2969384473 title "The Multifaceted Behavior of Integrated supOU Processes: The Infinite Variance Case" @default.
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- W2969384473 doi "https://doi.org/10.1007/s10959-019-00935-8" @default.
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