Lacunary invariant statistical equivalence for double set sequences

In this paper, we introduce the notions of asymptotical strong σ2σ2-equivalence, asymptotical σ2σ2-statistical equivalence, asymptotical lacunary strong σ2σ2-equivalence and asymptotical lacunary σ2σ2-statistical equivalence in the Wijsman sense for double set sequences. Also, we investigate some relations between these new asymptotical equivalence notions.

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