| k-正态分布及其应用 |
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| 引用本文： | 韩天勇,文家金,宋安超,叶建华.k-正态分布及其应用[J].数学杂志,2017,37(4):737-750. |
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| 作者姓名： | 韩天勇 文家金 宋安超 叶建华 |
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| 作者单位： | 成都大学信息科学与工程学院, 四川 成都 610106,成都大学信息科学与工程学院, 四川 成都 610106,西南财经大学统计学院, 四川 成都 611130),成都大学信息科学与工程学院, 四川 成都 610106 |
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| 基金项目： | Supported by the Natural Science Foundation of Sichuan Science and Technology Department (2014SZ0107). |
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| 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.
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| 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 |
| 收稿时间： | 2016/2/25 0:00:00 |
| 修稿时间： | 2016/9/28 0:00:00 |
k-NORMAL DISTRIBUTION AND ITS APPLICATIONS |
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| HAN Tian-yong,WEN Jia-jin,SONG An-chao and YE Jian-hua.k-NORMAL DISTRIBUTION AND ITS APPLICATIONS[J].Journal of Mathematics,2017,37(4):737-750. |
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| Authors: | HAN Tian-yong WEN Jia-jin SONG An-chao and YE Jian-hua |
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| Institution: | College of Information Science and Engineering, Chengdu University, Chengdu 610106, China,College of Information Science and Engineering, Chengdu University, Chengdu 610106, China,School of Statistics, Southwestern University of Finance and Economics, Chengdu 611130, China and College of Information Science and Engineering, Chengdu University, Chengdu 610106, 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. |
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| Keywords: | truncated random variables k-normal distribution hierarchical teaching model logarithmic concave function simulation |
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