Abstract:
Let $\{X_n\}$ be a sequence of independent Banach-spacevalued random variables. The
connection between the law of the iterated logarithm for $\{X_n\}$ and the law of large numbers
for $\{\|X_n\|^2\}$ is investigated.
Citation:
V. A. Egorov, “On a method of proving of theorems on the law of the iterated logarithm”, Teor. Veroyatnost. i Primenen., 29:1 (1984), 125–132; Theory Probab. Appl., 29:1 (1985), 126–132
\Bibitem{Ego84}
\by V.~A.~Egorov
\paper On a method of proving of theorems on the law of the iterated logarithm
\jour Teor. Veroyatnost. i Primenen.
\yr 1984
\vol 29
\issue 1
\pages 125--132
\mathnet{http://mi.mathnet.ru/tvp1977}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=739509}
\zmath{https://zbmath.org/?q=an:0554.60014|0531.60010}
\transl
\jour Theory Probab. Appl.
\yr 1985
\vol 29
\issue 1
\pages 126--132
\crossref{https://doi.org/10.1137/1129014}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985AFG0600014}
Linking options:
https://www.mathnet.ru/eng/tvp1977
https://www.mathnet.ru/eng/tvp/v29/i1/p125
This publication is cited in the following 3 articles: