Optimal spectral bandwidth for long memory

Optimal spectral bandwidth for long memory
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长记忆的最佳光谱带宽

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发表时间:
1993
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通讯作者:
P. Robinson
P. Robinson
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文献类型:
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作者:
P. Robinson

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对于频率为零的具有频谱奇点的长距离相关时间序列,Robinson (1991b)提出了奇点非参数分析中的最优带宽选择理论。描述了最优带宽,并与光滑谱分析的带宽进行了比较。对分数阶ARIMA模型进行了分析,并在一些特殊情况下作为自相似参数的函数进行了计算。讨论了最优带宽的可行数据依赖近似。
For long range dependent time series with a spectral singularity at frequency zero, a theory for optimal bandwidth choice in non-parametric analysis ofthe singularity was developed by Robinson (1991b). The optimal bandwidths are described and compared with those in case of analysis of a smooth spectrum. They are also analysed in case of fractional ARIMA models and calculated as a function of the self similarity parameter in some special cases. Feasible data dependent approximations to the optimal bandwidth are discussed.