| 贝叶斯统计方法在海浪方向谱研究中的应用 |
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| 引用本文： | 赵栋梁,黄娟.贝叶斯统计方法在海浪方向谱研究中的应用[J].海洋学报,2000,22(5):31-40. |
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| 作者姓名： | 赵栋梁 黄娟 |
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| 作者单位： | 1.青岛海洋大学物理海洋研究所, 青岛 266003 |
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| 基金项目： | 山东省自然科学基金资助项目(编号：Q98E04141);教育部博士点基金贤助项目(编号；98042302)， |
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| 摘 要： | 较详细介绍了贝叶斯统计方法在海浪方向谱估计中的应用,指出先验分布的不同对估计结果没有影响,由于均匀分布与最大熵原则相对应,使其具有某种特殊性.数值模拟表明贝叶斯方法对双峰方向分布估计的有效性,将其应用于黑海实测资料,证明双峰方向分布的出现依赖于估计方法分辨力的大小,而用最大似然法得到的双峰方向分布值得怀疑.最后给出出现双峰方向分布的一种可能物理解释.
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| 关 键 词： | 贝叶斯统计方法 海浪方向谱 先验分布 双峰方向分布 非线性波-波 相互作用 |
| 收稿时间： | 1999/7/23 0:00:00 |
| 修稿时间： | 1999-07-23 |
Application of Bayesian statistical method on the study of directional spectrum of wind waves |
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| Zhao Dongliang and Huang Juan.Application of Bayesian statistical method on the study of directional spectrum of wind waves[J].Acta Oceanologica Sinica (in Chinese),2000,22(5):31-40. |
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| Authors: | Zhao Dongliang and Huang Juan |
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| Institution: | 1.Institute of Physical Oceanography, Ocean University of Qingdao, Qingdao 2660032.North China Sea Branch, State Oceanic Administration, Qingdao 266033 |
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| Abstract: | Application of Bayesian statistical method to the analysis of directional spectrum of wind waves is pre- sented in detail. It is pointed out that the difference of prior distributions has no influence on the estimated results, and there is some speciality for even distribution due to its corresponding to maximum entropy principle. The effectivity of Bayesian statistical method on the estimation of bimodal distribution is shown by numerical simulation. Through the analysis of Black Sea data, it is demonstrated that whether or not a bimodal distribution depends strongly on the estimating methods and the truthfulness of bimodal distribution obtained by the maximum likelihood method is doubted. A possible physical explaination for emergence of bimodal distribution is presented finally. |
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| Keywords: | Bayesian statistical method directional spectrum prior distribution bimodal distribution nonlinear wave - wave interaction |
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