On the strong laws of large numbers for double arrays of random variables in convex combination spaces

Let \mathfrak X{\mathfrak {X}} be a convex combination space as defined by Terán and Molchanov 13]. By using their definition of mathematical expectation of an \mathfrak X{\mathfrak {X}}-valued random variable, we state several new variants of strong laws of large numbers for double arrays of integrable \mathfrak X{\mathfrak {X}}-valued random variables under various assumptions. Some related results in the literature are extended.