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Limit theorems for weighted sums and stochastic approximation processes
By establishing certain limit theorems for martingale transforms and weighted sums, a Marcinkiewicz—Zygmund strong law together with weak and strong invariance principles is developed for stochastic approximation processes, under minimal conditions on the errors.
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| Udgivet i: | Proc Natl Acad Sci U S A |
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| Main Authors: | , |
| Format: | Artigo |
| Sprog: | Inglês |
| Udgivet: |
National Academy of Sciences
1978
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| Fag: | |
| Online adgang: | https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC411409/ https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592509/ https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.75.3.1068 |
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