期刊名称：Proceedings of the National Academy of Sciences
印刷版ISSN：0027-8424
电子版ISSN：1091-6490
出版年度：1978
卷号：75
期号：3
页码：1068-1070
DOI：10.1073/pnas.75.3.1068
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：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.
