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ARMA模型参数估计的两段最小二乘法
Two-stage Least Squares Method for Parameter Estimation of ARMA Models
【摘要】 提出了自回归滑动平均(ARMA)模型参数估计的两段最小二乘法。首先用递推最小二乘法对真实ARMA模型拟合高阶自回归(AR)模型,然后基于所拟合的AR模型参数,用最小二乘法解一个不相容代数方程组得到ARMA模型参数。一个仿真的例子说明了其有效性。
【Abstract】 Two-stage least squares method for parameter estimation of ARMA models is presented. First, the true ARMA model is fitted by a high order AR model by using the recursive least squares method. Secondly, based on the fitted AR model parameters, the ARMA model parameter estimates are obtained via solving a set of contradictory algebriaic equations by using the least squares method. A simulation example shows its effectiveness.
【关键词】 ARMA 模型;
参数估计;
两段最小二乘法;
【Key words】 ARMA model; parameter estimation; two-stage least squares method;
【Key words】 ARMA model; parameter estimation; two-stage least squares method;
【基金】 国家自然科学基金(69774019)资助;黑龙江省自然科学基金(F01-15)资助
- 【文献出处】 科学技术与工程 ,Science Technology and Engineering , 编辑部邮箱 ,2002年05期
- 【分类号】O241.5
- 【被引频次】42
- 【下载频次】804