Abstract [eng] |
Let $\xi_1, \xi_2, \ldots$ be independent identically distributed random variables such that, for each $k$, $\xi_k$ is distributed according to the Weibull distribution and let \raisebox{0.1 em}{\scalebox{0.8}{$\prod_{n}$}} $:=\prod_{k=1}^{n} \xi_k$ be the product of the random variables. Two theorems for the asymptotical formula of the tail of the product of Weibull distributions are presented and proved in this paper. |