Document Zbl 0693.60035

Local convergence of amarts. (Chinese. English summary) Zbl 0693.60035

J. Wuhan Univ., Nat. Sci. Ed. 1988, No. 2, 11-16 (1988).

Amarts are important extensions of martingales and they preserve some basic properties of martingales. But local convergence of amarts is seldom touched. The purpose of this paper is to discuss local convergence of amarts and some results on local convergence of amarts are obtained.

MSC:

60G48	Generalizations of martingales
60G42	Martingales with discrete parameter
60F99	Limit theorems in probability theory

Keywords:

martingale in the limit; Riesz decomposition; asymptotically uniform continuity of integrals; local convergence of amarts

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