ESTIMATION IN LONG‐MEMORY TIME SERIES MODEL

ESTIMATION IN LONG‐MEMORY TIME SERIES MODEL
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长记忆时间序列模型中的估计

DOI:
10.1111/j.1467-9892.1988.tb00451.x
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发表时间:
1988
影响因子:
0.9
通讯作者:
K. Eom
K. Eom
中科院分区:
数学4区
文献类型:
--
作者:
R. Kashyap;K. Eom

文献摘要

被引文献

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本文研究了长记忆时间序列模型的参数估计问题。提出了一个无偏一致估计量。该估计方法基于频域最小二乘法,计算简单。同时,导出了Cramer-Rao下界。该估计器的均方误差为O(1/N)阶,其中N为样本数。利用合成的长记忆时间序列数据验证了估计的准确性。
This study deals with the parameter estimation in long-memory time series models. An unbiased and consistent estimator is proposed. The proposed estimator is based on a least-squares method in the frequency domain, and it is computationally simple. Also, the Cramer–Rao lower bound is derived. The mean-square error of the proposed estimator is order of O(1/N), where N is the number of samples. The accuracy of the estimates is verified using synthetic long-memory time series data.