BIVARIATE DISTRIBUTIONS WITH GIVEN MARINGALS WITH AN APPLICATION TO WAVE CLIMATE DESCRIPTION

被引:49
作者
ATHANASSOULIS, GA
SKARSOULIS, EK
BELIBASSAKIS, KA
机构
[1] Department of Naval Architecture and Marine Engineering, National Technical University of Athens, 157 10 Zografos
关键词
D O I
10.1016/0141-1187(94)90010-8
中图分类号
P75 [海洋工程];
学科分类号
0814 ; 081505 ; 0824 ; 082401 ;
摘要
The class of bivariate probability distributions with given (prespecified) marginals is studied, and a special member of this class, the Plackett model, is applied to represent the joint probability distribution of significant wave height (H(S)) and mean zero-upcrossing period (T02). The distinctive features of the bivariate Plackett model are: (i) it accepts any kind of univariate probability models as marginals, (ii) it can accurately model the degree of correlation between H(S) and T02, and (iii) it permits an easy and reliable estimation of parameters. Applications of the Plackett model to the description of (H(S), T02) statistics for certain sea locations illustrate its overall performance and flexibility. The possibility of extending this approach to the multivariate case is discussed.
引用
收藏
页码:1 / 17
页数:17
相关论文
共 68 条
[1]  
Ochi, Stochastic analysis and probabilistic prediction of random seas, Adv. in Hydrosc., 13, pp. 217-375, (1982)
[2]  
Jasper, Statistical distribution patterns of ocean waves and of wave-induced ship stresses and motions with engineering applications, Trans. Soc. Naval Architects and Marine Engrs, 64, pp. 375-432, (1956)
[3]  
Ochi, Wave statistics for the design of ships and ocean structures, Trans. Soc. Naval Architects and Marine Engrs, 60, pp. 47-76, (1978)
[4]  
Battjes, Long-term wave height distribution at seven stations around the British Isles, Tech. Rep. A44, (1970)
[5]  
Fang, Hogben, Analysis and prediction of long-term probability distributions of wave heights and periods, Tech. Rep., (1982)
[6]  
Nordenstrom, Methods for predicting long-term distributions of wave loads and probability of failure for ships. Part I: Environmental conditions and short term response, Tech. Rep. 69-21-S, (1969)
[7]  
Ochi, Extreme values of surface effect ships (SES) responses in a seaway. Part I. Estimation of extreme values for SES design consideration, Tech. Rep. 690-01, (1976)
[8]  
Andrew, Price, Applications of generalized gamma functions in ship dynamics, Trans. Royal Inst. Naval Architects (RINA), 121, pp. 137-143, (1979)
[9]  
Draper, The analysis and presentation of wave data — A plea for uniformity, Proc. 10th Coastal Engineering Conf., pp. 1-11, (1966)
[10]  
St Denis, On statistical techniques for predicting the extreme dimensions of ocean waves and of amplitudes of ship responses, Proc. Ship Tech. Res. Symp., pp. 3.1-3.26, (1975)