\textstyle k-SIIRV = \{ D : D \text{is a k-sum of independent integer random variable } \} .
Let \textstyle D \in k-SIIRV then there is an algorithm which given \textstyle n, \textstyle \epsilon > 0 and access to \textstyle GEN(D) finds a \textstyle D' such that \textstyle \Pr[ d(D, D') \le \epsilon ] \ge 1 - \delta.