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Probabilistic norms and convergence of random variables
Authors:Bernardo Lafuerza-Guillé  n
Affiliation:a Departamento de Estad?́stica y Matemática Aplicada, Universidad de Almer?́a, 04120 Almer?́a, Spain
b Dipartimento di Matematica “Ennio De Giorgi”, Università di Lecce, Lecce, Italy 73100
Abstract:We prove that the probabilistic norms of suitable Probabilistic Normed spaces induce convergence in probability, Lp convergence and almost sure convergence.
Keywords:Convergence in probability   Almost sure convergence   Complete convergence   Probabilistic normed space   Probabilistic norm
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