THE CONVERGENCE OF A CLASS OF AMART-LIKE SEQUENCES

WANG Zhenpeng. THE CONVERGENCE OF A CLASS OF AMART-LIKE SEQUENCES[J]. Chinese Journal of Applied Probability and Statistics, 1986, 2(1): 1-4.

Citation:

WANG Zhenpeng. THE CONVERGENCE OF A CLASS OF AMART-LIKE SEQUENCES[J]. Chinese Journal of Applied Probability and Statistics, 1986, 2(1): 1-4.

Citation:

WANG Zhenpeng. THE CONVERGENCE OF A CLASS OF AMART-LIKE SEQUENCES[J]. Chinese Journal of Applied Probability and Statistics, 1986, 2(1): 1-4.

Abstract

The convergence of a class of amart-like sequences are discussed in this paper. The main resultis that suppose（\left.\left(x_n, \mathscrX_n\right)\right)）bean in tegrable adapted sequence,if \sup _\mathbbN E\left|x_n\right|< \infty and \lim _T \sup _\tau \int_T \sigma\left|E\left(x_\tau \mid \mathscrF_\sigma\right)-x_\sigma\right|=0 then （x_n） lower demiconverge.

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