Abstract
ABSTRACTFor subexponential random variables Xi, 1 ⩽ i ⩽ n, the uniform asymptotic resultis established for 0 < an(x) ⩽ ci ⩽ bn(x), 1 ⩽ i ⩽ n, where an(x) decreases to 0 and b(x) goes to infinity as x tends to infinity. It extends the current result when the subexponential random variables Xi’s are independent and gives the first uniform asymptotic result when Xi’s are dependent.
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