Some bounds for the expected number of level crossings of symmetric harmonizable p-stable processes (Q908578)
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scientific article; zbMATH DE number 4135123
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some bounds for the expected number of level crossings of symmetric harmonizable p-stable processes |
scientific article; zbMATH DE number 4135123 |
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Some bounds for the expected number of level crossings of symmetric harmonizable p-stable processes (English)
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1989
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Exploiting some facts of the representation of p-stable random variables as series the author obtains certain expressions for the expected number of u level crossings by a real-valued, symmetric, harmonizable p-stable random process \(y_ p\), \(0<p<2\). By estimation the author obtains some bounds for the expected number of level crossings. Most of the results are similar to the well-known results for stationary Gaussian processes.
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representation of p-stable random variables
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expected number of level crossings
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stationary Gaussian processes
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0.9627295
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0.9514671
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0.94232917
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0.8952751
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