In this paper, we have introduced three new types of convergence concepts, namely in p-distance, completely and metric by considering triple sequences complex uncertain variable. We established the interrelationships among these notions also with existing ones. process, proven that almost surely are equivalent nature. Overall, study presents a more complete scenario interconnections between con...

We provide in this paper sufficient conditions for the complete convergence for the partial sums and the random selected partial sums of B-valued Lp-mixingales.

We investigate the complete convergence of partial sums of randomly weighted extended negatively dependent (END) random variables. Some results of complete moment convergence, complete convergence and the strong law of large numbers for this dependent structure are obtained. As an application, we study the convergence of the state observers of linear-time-invariant systems. Our results extend t...

The convergence sets of a multidimensional complete field are those having the property that all power series over it converge when substituting an element maximal ideal for variable. It is proved set lies in ring integers if and only contained some ring.