By using the well-known Matuszewska indices and some techniques developed by Davis and Resnick (1988), we successfully derive some asymptotic formulae for these quantities.

• 通过使用著名的Matuszewska指数和Davis和Resnick(1988)的技巧,我们成功地推导出了随机变量加权和及它们最大值的一些渐近公式。