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In this paper, we discuss the stability of the sum form functional equation for all complete probability distributions (p 1 , . . . , p n ) ∈ Γ n , (q 1 , . . . , q m ) ∈ Γ m , n 3, m 3 are fixed integers, f, g are real valued mappings each having the domain I = [0, 1] and β is a fixed positive real power such that β = 1, 0 β := 0, 1 β := 1.doi:10.22436/jnsa.014.03.06 fatcat:img26qcfo5dm5ocilgw6mkgugm