k-正态分布及其应用
k-NORMAL DISTRIBUTION AND ITS APPLICATIONS

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