Equivalent Conditions of Complete Convergence for Weighted Sums of Sequences of i.i.d. Random Variables under Sublinear Expectations

The complete convergence for weighted sums of sequences of independent, identically distributed random variables under sublinear expectation space is studied. By moment inequality and truncation methods, we establish the equivalent conditions of complete convergence for weighted sums of sequences of independent, identically distributed random variables under sublinear expectation space. The results complement the corresponding results in probability space to those for sequences of independent, identically distributed random variables under sublinear expectation space.