A Monte Carlo simulation of multivariate general Pareto distribution and its application
L. Yao1, W. Dongxiao2, Z. Zhenwei3, H. Weihong1, and S. Hui41South China Sea Institute of Oceanology, Chinese Academy of Sciences, Guangzhou, China 2State Key Laboratory of Tropical Oceanography, South China Sea Institute of Oceanology, Chinese Academy of Sciences, Guangzhou, China 3School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, China 4China Water Resources Pearl River Planning Surveying & Designing Co., Ltd., Guangzhou, China
Received: 20 Aug 2014 – Accepted for review: 21 Oct 2014 – Discussion started: 08 Dec 2014
Abstract. This paper presents a multivariate general Pareto distribution (MGPD) method and builds a method for solving MGPD through the use of a Monte Carlo simulation for marine environmental extreme-value parameters. The simulation method has proven to be feasible in the analysis of the joint probability of wave height and its concomitant wind from a hydrological station in the South China Sea (SCS). The MGPD is the natural distribution of the multivariate peaks-over-threshold (MPOT) sampling method, and is based on the extreme-value theory. The existing dependence functions can be used in the MGPD, so it may describe more variables which have different dependence relationships. The MGPD method improves the efficiency of the extremes in raw data. For the wave and the concomitant wind from a period of 23 years (1960–1982), the number of the wave and wind selected is averaged to 19 per year. For the joint conditional probability of the MGPD, the relative error is rather small in the Monte Carlo simulation method.
Yao, L., Dongxiao, W., Zhenwei, Z., Weihong, H., and Hui, S.: A Monte Carlo simulation of multivariate general Pareto distribution and its application, Ocean Sci. Discuss., 11, 2733-2753, doi:10.5194/osd-11-2733-2014, 2014.