Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A finitely additive generalization of Birkhoff's ergodic theorem


Author: S. Ramakrishnan
Journal: Proc. Amer. Math. Soc. 96 (1986), 299-305
MSC: Primary 28D05; Secondary 60F15
MathSciNet review: 818462
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A finitely additive generalization of Birkhoff s ergodic theorem is obtained which yields, in particular, strong laws of large numbers in the i.i.d. setting as well as for positive recurrent Markov chains.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 28D05, 60F15

Retrieve articles in all journals with MSC: 28D05, 60F15


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0818462-7
PII: S 0002-9939(1986)0818462-7
Keywords: Ergodic theorem, finitely additive probability, i.i.d. measure, Markov chain
Article copyright: © Copyright 1986 American Mathematical Society