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In this paper, the concept of probabilistic  g -metric space with degree  l , which is a generalization of probabilistic  G -metric space, is introduced. Then, by endowing strong topology, the definition of  l -dimensional asymptotic density of a subset  A  of    $\mathbb{N}^{l}$  N l is used to introduce a statistically convergent and Cauchy sequence and to study some basic facts.

Statistical convergence in probabilistic generalized metric spaces w.r.t. strong topology