%0 Journal Article %T k-正态分布及其应用<br>k-NORMAL DISTRIBUTION AND ITS APPLICATIONS %A 作者 %A 韩天勇 %A 文家金 %A 宋安超 %A 叶建华 %J 数学杂志 %D 2017 %X 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.<br>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 %K 截断随机变量 k-正态分布 分层教学模型 对数凹函数 仿真< %K br> %K truncated random variables k-normal distribution hierarchical teaching model logarithmic concave function simulation %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170409&flag=1