摘要
本文用计算的方法与数理统计理论相结合对对数族分布做了较为深入的考察。计算的结果与数学推导的结果都表明,虽然对数族中的分布函数有不同的参数、不同的表达形式,但实际上它们代表了同一个分布,即从族中不同的分布函数可以得到相同的结果。因此,我们可用人们较为熟悉的对数正态分布来代表整个对数族分布。
In this paper the properties of the Family of Logarithmic Distribution (FLD) were investigated by both computation and theoretical analysis from the viewpoint of statistical theory. It proved that although the members in FLD had different parameters with different physical meanings and different expressions, they actually represented the same distribution, i.e. the same results could be derived from these distribution functions. In addition, the parameter rn was a function of the parameter n, but σn2 not.
出处
《感光科学与光化学》
CSCD
1989年第2期33-41,共9页
Photographic Science and Photochemistry
基金
国家自然科学基金
关键词
胶体
颗粒
对数族
计算机
模拟
colloidal catalysis, chemical kinetics, computer simulation, grain size distribution
