... σ2i< ∞ for each i ≥ 1. Denote B2n=ni=1σ2i for each n ≥ 1. For fixed n ≥ 1, there exists a positive number H such that|EXmi| ≤m!2σ2iHm−2, i = 1, 2, . . . , n (3.3) for any ... EX2i= σ2i< ∞ for each i ≥ 1. Denote B2n=ni=1σ2i for each n ≥ 1. Ifthere exists a positive number c such that |Xi| ≤ cBn for each 1 ≤ i ≤ n, n ≥ 1, then for any ε > 0,P ... transform or finite moment generating function near zero (and hencea sequence of NA random variables with finite Laplace transform, too) provides us anexample of acceptable random variables. For...