Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A note on Strassen’s version of the law of the iterated logarithm
HTML articles powered by AMS MathViewer

by A. K. Basu PDF
Proc. Amer. Math. Soc. 41 (1973), 596-601 Request permission

Abstract:

Strassen’s law of the iterated logarithm is extended to stationary ergodic martingales and to a non-identically-distributed case.
References
  • Y. S. Chow, Local convergence of martingales and the law of large numbers, Ann. Math. Statist. 36 (1965), 552–558. MR 182040, DOI 10.1214/aoms/1177700166
  • V. F. Gapoškin, The law of the iterated logarithm for Abel’s and Cesàro’s methods of summation, Teor. Verojatnost. i Primenen 10 (1965), 449–459 (Russian, with English summary). MR 0195133
  • F. Jonas, Unpublished Thesis, Erlangen, 1967.
  • A. V. Skorohod, Issledovaniya po teorii sluchaĭ nykh protsessov (Stokhasticheskie differentsial′nye uravneniya i predel′nye teoremy dlya protsessov Markova), Izdat. Kiev. Univ., Kiev, 1961 (Russian). MR 0185619
  • Olaf P. Stackelberg, On the law of the iterated logarithm. I. II, Nederl. Akad. Wetensch. Proc. Ser. A 67 = Indag. Math. 26 (1964), 48–55, 56–67. MR 0161351, DOI 10.1016/S1385-7258(64)50006-2
  • V. Strassen, An invariance principle for the law of the iterated logarithm, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 3 (1964), 211–226 (1964). MR 175194, DOI 10.1007/BF00534910
  • W. F. Stout, The Hartman-Wintner law of the iterated logarithm for martingales, Ann. Math. Statist. 41 (1970), 2158-2160.
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 60F15, 60G45
  • Retrieve articles in all journals with MSC: 60F15, 60G45
Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 41 (1973), 596-601
  • MSC: Primary 60F15; Secondary 60G45
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0329007-3
  • MathSciNet review: 0329007