仿真计算在数理统计中的应用  

Application of Simulation Computing in Mathematical Statistics

作　　者：张东[1] 安玉娥 王娟 

机构地区：[1]上海理工大学理学院,上海 [2]上海立信会计金融学院统计与数学学院,上海

出　　处：《理论数学》2023年第10期2888-2899,共12页Pure Mathematics

摘　　要：随着新时期学科融合的大趋势,结合数理统计课程的定位与特点,将仿真计算引入课堂教学过程。结合Matlab仿真计算软件,针对数理统计中的经典问题,如抽样计算、统计推断、分布拟合、回归分析等内容进行计算机模拟仿真计算,突出学科融合与内容契合,以期达到理论与实际相结合,更深刻理解概念、方便科学应用的目的。通过仿真计算结果的具体呈现,将《数理统计》学习中的理论知识结果通过模拟仿真运算更直观生动的展示出来,在略显理论化的数学课堂中增加了图像展示,使得学习者更加容易接受知识系统并反过来进一步增强对本门课程及后续课程的兴趣。文中还对引入仿真计算后的课程设置给出了教学建议。With the general trend of discipline integration in the new era, combined with the positioning and characteristics of mathematical statistics courses, simulation computing is introduced into the classroom teaching process. Combined with Matlab simulation and calculation software, computer simulation simulation calculations are carried out for classic problems in mathematical statistics, such as sampling calculation, statistical inference, distribution fitting, regression analysis, etc., highlighting the integration of disciplines and content fit, in order to achieve the purpose of com-bining theory and practice, understanding concepts more deeply and facilitating scientific appli-cations. Through the specific presentation of simulation calculation results, the theoretical knowledge results in the learning of “Mathematical Statistics” are displayed more intuitively and vividly through simulation operations, and image display is added in the slightly theoretical mathematics classroom, so that learners are more receptive to the knowledge system and in turn further enhance their interest in this course and subsequent courses. In this paper, teaching sug-gestions are also given for the curriculum after the introduction of simulation calculation.

关 键 词：仿真计算 数理统计 数学软件 数值实验 随机数 

分 类 号：G63[文化科学—教育学]