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马氏正态过程在教育质量评价中的应用
引用本文:宋福庆,庞善起,刘万里.马氏正态过程在教育质量评价中的应用[J].河南师范大学学报(自然科学版),2007,35(3):8-10.
作者姓名:宋福庆  庞善起  刘万里
作者单位:1. 安阳师范学院,数学系,河南,安阳,455000
2. 河南师范大学,数学与信息科学学院,河南,新乡,453007
3. 洛阳师范学院,数学系,河南,洛阳,473022
基金项目:国家自然科学基金 , 河南省自然科学基金 , 河南省教育厅自然科学基金
摘    要:首先利用正态分布给出状态空间的划分方法;然后将马氏正态过程离散化为马氏链,并给出一步转移矩阵的计算方法,根据不同的状态划分,给出对应的权矩阵,并使用加权平均确定出教学效率的指标,从而给出一种评价教学效率的新方法,并用实例验证其可行性及有效性.

关 键 词:马氏过程  正态分布  状态空间  权矩阵  期望值
文章编号:1000-2367(2007)03-0008-03
修稿时间:2006-12-31

Application of Markov Normal Process to Evaluation in Education Quality
SONG Fu-qing,PANG Shan-qi,LIU Wan-li.Application of Markov Normal Process to Evaluation in Education Quality[J].Journal of Henan Normal University(Natural Science),2007,35(3):8-10.
Authors:SONG Fu-qing  PANG Shan-qi  LIU Wan-li
Institution:1. Dept. of Mathematics, Anyang Normal College, Anyang 455000, China;2. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China ; 3. Dept. of Mathematics, Luoyang Normal College, Luoyang 473002, China
Abstract:In this paper,a method of dividing state space is proposed firstly by using normal distribution.Secondly,Markov normal process is changed into Markov chain,and a way of calculation for one step transition matrix is posed according to different division of state.In addition,the target of teaching efficiency is determined by applying weight-plus mean,then,a kind of new method for evaluating teaching effect is built,and its feasibility and effectiveness are tested through examples.
Keywords:Markov process  normal distribution state space  weigh matrix  expectation value
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