Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Austin, D.G., Edgar, G.A. and Ionescu Tulcea, A. [1974]. Pointwise convergence in terms of expectations. Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 30, 17–26.
Bellow, A. [1977]. Uniform amarts: a class of asymptotic martingales for which strong almost sure convergence obtains. Z. Wahrscheinlich-keitstheorie und Verw. Gebiete 41, 177–191.
Chatterji, S.D. [1971]. Differentiation along algebras. Manuscripta Math. 4, 213–224.
Chatterji, S.D. [1976]. Differentiation of measures. Lecture Notes in Mathematics 541, 173–179, Springer-Verlag, Berlin.
Chatterji, S.D. [1984]. A remark on a recent paper on the convergence of "amarts". Journal of Multivariate Analysis (to be published).
Doob, J.L. [1953]. Stochastic processes, Wiley, N.Y.
Egghe, L. [1982–83]. Extensions of the martingale convergence theory in Banach spaces. Boekhandel L. Wouters, Leuven.
Lamb, C.W. [1973]. A ratio limit theorem for approximate martingales. Canad. J. Math. 25, 772–779.
Schmidt, K.D. [1981]. On the convergence of a bounded amart and a conjecture of Chatterji. J. Multivariate Anal. 11, 58–68.
Additional Reference
Gut, A. and Schmidt, K.D. [1983]. Amarts and Set Function Processes. Lecture Notes in Mathematics, Vol. 1042, Springer-Verlag, Berlin.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1984 Springer-Verlag
About this paper
Cite this paper
Chatterji, S.D. (1984). Measure theory and amarts. In: Kölzow, D., Maharam-Stone, D. (eds) Measure Theory Oberwolfach 1983. Lecture Notes in Mathematics, vol 1089. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072622
Download citation
DOI: https://doi.org/10.1007/BFb0072622
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13874-7
Online ISBN: 978-3-540-39069-5
eBook Packages: Springer Book Archive