相关系数平稳序列的估计与识别
Estimation and Identification for Correlation Coefficient Stationary Series
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摘要: 本文提出了通过观测序列确定不可直接测得的相关系数平稳序列模型参数的方法,详细讨论了相关系数AR(p),MA(q)和ARMA(p,q)序列状态方程的参数估计,为非平稳序列的滤波、预测和平滑提供了依据。文中还给出了观测系统参数的识别方法,与传统方法相比,本文方法考虑了测量噪声的均值和方差随时间变化情况,具有更高的识别精度。Abstract: The estimation method for the parameters of the correlation coefficient stationary series which can not be measured straightly is presented.After the state equations of the correlation coefficient AR(p),MA(q) and ARMA(p,q)series are established,the filtering,prediction and smoothing for non stationary series can be carried out.In addition,the identification method of the observation system is also given.For the relation between time and the mean,the variance of the noise can be considered,the precision of the present method is higher than that of the traditional methods.
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