On the renewal measure for Gaussian sequences (Q1080563)
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scientific article; zbMATH DE number 3967615
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the renewal measure for Gaussian sequences |
scientific article; zbMATH DE number 3967615 |
Statements
On the renewal measure for Gaussian sequences (English)
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1986
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Let \(\xi_ 1,\xi_ 2,..\). be a Gaussian sequence, let \(U(t)=\sum^{\infty}_{1}P(\xi_ n\leq t)\) be the expected number of values of this sequence which do not exceed t. The author investigates the asymptotic behaviour of U(t) as \(t\to \infty\) under certain assumptions such as regular variation of E \(\xi\) \({}_ n\) and var \(\xi\) \({}_ n\).
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Gaussian sequences
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renewal measure
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asymptotic behaviour
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regular variation
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