Convergence in probability and almost sure with applications. (Q1888772)
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scientific article; zbMATH DE number 2119511
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence in probability and almost sure with applications. |
scientific article; zbMATH DE number 2119511 |
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Convergence in probability and almost sure with applications. (English)
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26 November 2004
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The paper investigates convergence in probability of an adapted real-valued stochastic process when the time is tending to infinity. Provided convergence in law, the author presents conditions equivalent to the convergence in probability. Moreover, an almost surely convergent process is constructed in that case. The result generalizes the well-known convergence property of martingales.
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martingale
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slow variation
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varying environment
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branching random walks
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weighted sums
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weak laws
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