中文摘要：

基于对数正态分布在生存分析、可靠性分析争局部破产概率等邻域中的重要性，以及在次指数分布族中所占的重要地位，有必要对其性质作进一步的探讨．利用极限理论的观点，得到了有关对数正态分布及其相关分布的若干新的重要性质，以及在均值有限的情况下S与L族的一个等价关系．

英文摘要：

It is necessary for us to further investigate the properties of Lognormal distribution and its relational distributions since Lognormal distribution has a great importance in survival analysises, the reliability and the local ruin probability etc. It plays a role in the subexponential distribution class. Using the theory of limit, we obtain some important properties about Lognormal distribution and its relational distributions. Under the finite mean, a equivalent relation of sand L is derived.