贝叶斯统计方法在海浪方向谱研究中的应用
Application of Bayesian statistical method on the study of directional spectrum of wind waves
-
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.Abstract: Application of Bayesian statistical method to the analysis of directional spectrum of wind waves is presented 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.
-
Mitsuyasu H,Tasai F,Suhara T,et al.Observations of the directional spectrum of ocean waves using a cloverleaf buoy.J Phys Oceanogr,1975,5:750~760 Hasselmann D E,Dunkel M,Ewing J A.Directional wave spectra observed during JONSWAP 1973.J Phys Oceanogr,1980,10:1 264~280 Donelan M A,Hamilton J,Hui W H.Directional spectra of wind-generated waves.Philos Trans Roy Soc London,1985,A315:509~562 Zhao Dongling,Masuda Akira,Wen Shenchang,et al.A laboratory study of directional spectra with maximum likelihood method-I.Developing wind wave.Acta Oceanologica Sinica,1999,18(1):59~74 Young I R,Verhagen L A,Banner M L.A note on the bimodal directional spreading of fetch-limited wind waves.J Geophys Res,1995,100(Cl):773~778 Ewans K C.Observations of the directional spectrum of fetch-limited waves.J Phys Oceanogr,1998,28:495~512 张尧庭,陈汉峰.贝叶斯统计推断,北京:科学出版社、1994.234 Akaike H.Likelihood and Bayes procedure.Bayesian Statitics.Valencia:University Press,1980.143~166 Hashimoto N.Estimation of directional spectra from a Bayesian approach.Rep Port Harb Res Inst (in Japanese),1987,26(2):97~125 俞聿修,柳淑学.海浪方向谱的现场观测与分析.海洋工程,1994,11(2):1~11 柳淑学,俞聿修.方向谱的分析方法.港口工程,1994,(1):25~32 Liu Shuxue,Xu Yuxiu.Observations and estimations of directional spectrum of sea waves.China Ocean Engineering,1995,(2):19~34 柳淑学,俞聿修.入、反射波浪场中方向谱和反射系数的确定.水动力学研究与进展,A辑,1998,13(3):301~311 赵栋梁,管长龙,吴克俭,等.海浪方向谱估计方法的比较.海洋学报,1999,21(3):119~125 Babanin A V,Soloveev Y P.Parameterization of angular distribution of wind-wave at limited fetches.Phys Atmosphere and Ocean (in Russian),1987,23:868~876
点击查看大图
计量
- 文章访问数: 688
- HTML全文浏览量: 6
- PDF下载量: 690
- 被引次数: 0