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A Methodological Note on the Convergence of Sequences of Random Variables

A Methodological Note on the Convergence of Sequences of Random Variables

The aim of this note is to present a new point of view for introducing all well-known modes of convergence of sequences of random variables. In the one hand, we start from two noteworthy sets in convergence viz $T_{j,\epsilon}$ and $S_{j,\epsilon}$. The consideration of certain progressive assumptions on both $T_{j,\epsilon}$ …