| 基于马氏链拟合的一种非负变权组合预测算法及其应用 |
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| 引用本文： | 张新育,李镇,周世国.基于马氏链拟合的一种非负变权组合预测算法及其应用[J].大学数学,2009,25(1). |
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| 作者姓名： | 张新育 李镇 周世国 |
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| 作者单位： | 郑州大学,数学系,河南,郑州,450052 |
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| 摘 要： | 通过马氏链拟合的方法求取一种新的非负时变权组合预测算法公式.主要工作是:一、对组合预测问题以最小误差为准则给出了马氏链的状态和状态概率初步估计;二、用马氏链拟合状态概率分布时变规律,通过约束多元自回归模型导出了一步转移概率阵的LS解;三、给出一种非负时变权组合预测公式并举一应用实例.
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| 关 键 词： | 组合预测 非负时变权 马氏链 约束多元自回归模型 |
An Algorithm and Its Application for Fitting Combinatorial Forecasting with Nonnegative Time-varying Weights Based on Markov Chain |
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| ZHANG Xin-yu,LI Zheng,ZHOU Shi-guo.An Algorithm and Its Application for Fitting Combinatorial Forecasting with Nonnegative Time-varying Weights Based on Markov Chain[J].College Mathematics,2009,25(1). |
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| Authors: | ZHANG Xin-yu LI Zheng ZHOU Shi-guo |
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| Institution: | Department of Mathematics;Zhengzhou University;zhengzhou 450052;China |
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| Abstract: | Our purpose in this paper is to development a new algorithm formula to fit combinatorial forecasting with nonnegative time-varying weight by use of Markov chain.The main results is as below:1.Deriving initial status and its probability estimation of Markov chain under least squares criterion according to combinatorial forecasting problem;2.Fitting the law of status probabilities distribution varying with time by use of Markov chain,then deriving the least squares solution to one-step status probabilities tr... |
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| Keywords: | combinatorial forecasting time-varying weight Markov chain constrained multi-variate self-regression analysis model |
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