Relationships among convergence concepts of uncertain sequences

Cuilian You, Lijuan Yan
COMPUTER MODELLING & NEW TECHNOLOGIES 2016 20(3) 12-16

College of Mathematics and Information Science, Hebei University, Baoding 071000, China

Uncertain sequence is a sequence of uncertain variables indexed by integers. In this paper, a new kind of
sequence convergence that complete convergence was presented. Then, the relationships among complete
convergence, convergence in p-distance, convergence in measure, convergence in distribution, convergence
uniformly almost surely and convergence almost surely were investigated.