摘要
近本文研究了截断随机变量和k-正态分布.利用对数凹函数理论,获得了涉及截断随机变量和截断随机变量的函数的方差的不等式链,推广了涉及正态分布和分层教学模型的一些经典结论.同时在附录部分给出了仿真结果.
In this paper,we study the truncated variables and k-normal distribution.By using the theory of logarithmic concave function,we obtain the inequality chains involving variances of truncated variables and the function of truncated variables,which is the generalization of some classical results involving normal distribution and the hierarchical teaching model.Some simulation results and a real data analysis are shown.
作者
韩天勇
文家金
宋安超
叶建华
HAN Tian-yong;WEN Jia-jin;SONG An-chao;YE Jian-hua(College of Information Science and Engineering, Chengdu University, Chengdu 610106, China;School of Statistics, Southwestern University of Finance and Economics, Chengdu 611130, China)
出处
《数学杂志》
北大核心
2017年第4期737-750,共14页
Journal of Mathematics
基金
Supported by the Natural Science Foundation of Sichuan Science and Technology Department(2014SZ0107)
关键词
截断随机变量
k-正态分布
分层教学模型
对数凹函数
仿真
truncated random variables
k-normal distribution
hierarchical teaching model
logarithmic concave function
simulation
