| 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. |
| 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 |
| DOI： |
| 分类号:O174.13;O211.3;O211.5 |
| 基金项目:Supported by the Natural Science Foundation of Sichuan Science and Technology Department (2014SZ0107). |
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| k-NORMAL DISTRIBUTION AND ITS APPLICATIONS |
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HAN Tian-yong1, WEN Jia-jin1, 宋安超2, YE Jian-hua1
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1.College of Information Science and Engineering, Chengdu University, Chengdu 610106, China;2.School of Statistics, Southwestern University of Finance and Economics, Chengdu 611130, China
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| Abstract: |
| 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. |
| Key words: truncated random variables k-normal distribution hierarchical teaching model logarithmic concave function simulation |
