Abstract
The class of nonnegative random vectors $\mathbf{T} = (T_1,\ldots, T_n)$ for which $\min_{1\leq i\leq n} a_iT_i$ is IFRA for all $0 < a_i \leq \infty, i = 1,\ldots, n$, is closed under convolution.
Citation
Emad El-Neweihi. Thomas H. Savits. "Convolution of the IFRA Scaled-Mins Class." Ann. Probab. 15 (1) 423 - 427, January, 1987. https://doi.org/10.1214/aop/1176992280
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