Some theorems on harmonic renewal measures (Q1180192)
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scientific article; zbMATH DE number 27218
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some theorems on harmonic renewal measures |
scientific article; zbMATH DE number 27218 |
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Some theorems on harmonic renewal measures (English)
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27 June 1992
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The harmonic renewal measure \(\nu\) for the random walk \(S_ n\) is defined by \(\nu(A)=\sum_{n=1}^ \infty n^{-1} P(S_ n\in A)\). Asymptotic results for \(\nu([0,x])\) as \(x\to\infty\) have been obtained by several authors. The author gives weaker versions of some asymptotic results under weaker assumptions.
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harmonic renewal measure
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