As an extension of a central limit theorem established by Svante Janson, we prove a Berry-Esseen inequality for a sum of independent and identically distributed random variables conditioned by a sum of independent and identically distributed integer-valued random variables.

翻译：作为Svante Janson确定的核心限制理论的延伸,我们证明,对于由独立和相同分布的随机变数组成的总和而言,以独立和相同分布的整数值随机变数为条件,存在着Berry-Esseen不平等。