Article PDF
References
Burkholder, D. L.: Successive conditional expectations of an integrable function. Ann. math. Statistics 33, 887–893 (1962).
Chow, Y. S.: A martingale inequality and the law of large numbers. Proc. Amer. math. Soc. 11, 107–111 (1960).
Doob, J. L.: Stochastic processes. New York: John Wiley 1953.
Hájek, J. and A. Renyi: Generalization of an inequality of Kolmogoroff. Acta math. Acad. Sci. Hungar. 6, 281–283 (1955).
Wiener, N.: The ergodic theorem. Duke math. J. 5, 1–18 (1939).
Author information
Authors and Affiliations
Additional information
Research under NSF Contract GP-4590.
Rights and permissions
About this article
Cite this article
Teicher, H. A dominated ergodic type theorem. Z. Wahrscheinlichkeitstheorie verw Gebiete 8, 113–116 (1967). https://doi.org/10.1007/BF00536913
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00536913