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.