| 海洋矢量过程旋转谱估计的统计分布及置信区间 |
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| 引用本文： | 孙海丽,王景明,方欣华.海洋矢量过程旋转谱估计的统计分布及置信区间[J].中国海洋大学学报(自然科学版),1987(4). |
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| 作者姓名： | 孙海丽 王景明 方欣华 |
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| 作者单位： | 山东海洋学院物理海洋研究所
(孙海丽，王景明)，山东海洋学院物理海洋研究所(方欣华) |
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| 摘 要： | 本文利用一些复随机变量的分布和统计推断理论,导出了向量过程的正旋谱、负旋谱、谱差、总谱、外自谱、频域外自相关函数、外自谱的位相函数等估计量的渐近分布以及它们的置信区间,并简略地讨论了所得置信区间的最优性。最后用锚系海流计资料实例说明了所得置信区间公式在海流资料分析中的应用。
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| 关 键 词： | 旋转谱 内自谱 外自谱 渐近分布 置信区间 海流 |
THE STATISTICAL DISTRIBUTIONS AND CONFIDENCE INTERVALS OF ROTARY SPECTRAL ESTIMATES FOR OCEANIC VECTOR PROCESS |
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| Sun Haili Wang Jingming Fang Xinhua.THE STATISTICAL DISTRIBUTIONS AND CONFIDENCE INTERVALS OF ROTARY SPECTRAL ESTIMATES FOR OCEANIC VECTOR PROCESS[J].Periodical of Ocean University of China,1987(4). |
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| Authors: | Sun Haili Wang Jingming Fang Xinhua |
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| Institution: | Institute of Physical Oceanography |
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| Abstract: | The asymptotic distributions of clockwise spectrum, anticlockwise spectrum, total spectrum, spectral difference, outer-auto spectrum, outer-auto coherence and phase of outer-auto spectrum were derived by using some distributions of complex-valued random variables and statistical inference theory. Under these distributions, the uniformly most powerful unbiased confidence intervals were given. Finally, the data collected by moored currentmeterw ereu sed to illustrate the applications of the formulas of confidence intervals to the current data analysis. |
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| Keywords: | Rotary spectra Inter-auto spectrum Outer-auto-spectum Asymptotic distributions Confidence interval Ocean current |
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