On estimation of the integrals of the fourth order cumulant spectral density

On estimation of the integrals of the fourth order cumulant spectral density
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四阶累积量谱密度积分的估计

DOI:
10.1093/biomet/69.1.117
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发表时间:
1982
期刊:
影响因子:
2.7
通讯作者:
M. Taniguchi
M. Taniguchi
中科院分区:
数学2区
文献类型:
--
作者:
M. Taniguchi

文献摘要

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摘要众所周知,非高斯过程的拟极大似然估计的渐近方差包含四阶累积量谱密度的某些积分。如果我们应用渐近理论,我们需要估计这些积分。在这里,我们将提出一些业务一致的估计。
SUMMARY It is known that the asymptotic variance of a quasimaximum likelihood estimate for a non-Gaussian process contains certain integrals of the fourth order cumulant spectral density. If we apply the asymptotic theory we are required to estimate these integrals. Here we shall propose some operational consistent estimates for them.