随机过程中马尔可夫链在实际中的应用

论文编号:YYSX021  论文字数:11728,页数:27

随机过程中马尔可夫链在实际中的应用

[摘要]马尔可夫过程是在理论上和实际应用中都十分重要的一类随机过程 ,发展至今已形成内容丰富、理论完整、应用广泛的一门数学分支．它在经济领域、市场需求预测以及各种评估等等很多方面都有十分重要的作用和广泛应用．因此对马尔可夫过程的研究和对应用实例的学习都显得极为的重要．本文在简单介绍了马尔可夫过程及马尔可夫链的相关基础知识后，列举了马尔可夫链在经济应用、人才预测、教学质量评估和降水量预测方面的具体应用实例．最后，就教学质量评估方面运用马尔可夫链结合实例以例题的方式进行了进一步的研究．
[关键词]马尔可夫链 转移矩阵 预测模型 教学质量评估
[Abstract]Process of Markov are very important for a class of random process in theory and practical applications, the development of it has been plentiful on the formation, integrity theoretical, the application of a broad branch of mathematics. It was in the economic field, the demand of market, as well as a variety of assessment and has a very important role so many and extensive application. Process of Markov on the study and application of learning are obviously extremely important. This paper describes Markov chain and Process of Markov simple and the relevance of basic knowledge, the cited application of Markov chain in the economy, human resources forecasting, teaching quality assessment and the specific application of the precipitation forecast. Finally, author use Markov chain with an example of the way to sample questions for further research on the assessment of teaching quality.
[Keyword]Markov chain；transfer matrix；forecasting model；assessment of teaching quality

目录
[引言] 3
一、随机过程概述 4
1.1随机过程论的形成与定义 4
1.2马尔可夫过程概念 4
二、随机过程实例 7
2.1在经济上的应用 7
2.2科技人才预测的应用 8
2.3马尔可夫链在教学质量评估中的应用 12
2.4马尔可夫链在预测太原市降水量中的应用 19
三、马尔可夫链在实际中的应用 22
[结论] 26
[参考文献] 27

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