摘要
基于对数正态分布在生存分析、可靠性分析和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.
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.
出处
《江南大学学报(自然科学版)》
CAS
2006年第6期742-744,共3页
Joural of Jiangnan University (Natural Science Edition)
基金
国家自然科学基金项目(10271087)
关键词
对数正态分布
S族
L族
等价条件
lognormal distribution, class of S
class of L
equivalent condition