马氏正态过程在教育质量评价中的应用  

Application of Markov Normal Process to Evaluation in Education Quality

作　　者：宋福庆[1] 庞善起[2] 刘万里[3] 

机构地区：[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

出　　处：《河南师范大学学报（自然科学版）》2007年第3期8-10,共3页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10571045);河南省自然科学基金(0311010600);河南省教育厅自然科学研究项目(2004601013)

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.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.

关 键 词：马氏过程 正态分布 状态空间 权矩阵 期望值 

分 类 号：O224[理学—运筹学与控制论]