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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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Dettagli Bibliografici
Pubblicato in:Proc Natl Acad Sci U S A
Autori principali: Lai, T. L., Robbins, Herbert
Natura: Artigo
Lingua:Inglês
Pubblicazione: National Academy of Sciences 1978
Soggetti:
Accesso online: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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