Copula Theory And Its Application In Economy & Insurance

This paper discusses the Copula Theory and its application. First introduces the basic theory of copula function. Then use the copula function in the correlation analysis between economic growth and the foreign capital utilization of Wuhan. Third,Introducing a new copula function method. Finally, this article discusses the Construction of multi-life table using copula function.First of all,Introduced the basic theory of copula function. Including the definition and nature of the copula function,copula function classification,parameter estimation and parameter test.This article focused on Archimede copula,rank correlation coefficient,nonparametric estimation,IMF and Kolmogorov-Smirnov test.We studied the correlation analysis between economic growth and the foreign capital utilization of Wuhan using Copula theory.? Selected growth and utilization of foreign capital data in Wuhan(1990-2008).? We selected the Archimede copula to analyze the problem.This article uses two parameter estimation method,Genest & Rivest estimation and Kernel density estimation.Then compared the two estimation methods.Through graphical and analytical method for optimal selection of the copula function.We get a conclusion,there is tail dependence between economic growth and foreign investment in Wuhan.Quantitative data are given in detail.?This paper introduces a new copula function structure method,ordinal sum function.Based on the original,This paper discusses the nature of the ordinal sum function and get a set of conclusions.On this basis, the discussion of various statistical properties of the ordinal sum function.We get the general form of rank correlation coefficient.Construct a simple ordinal sum function and then applied to the case of Chapter three.The multi-life table is constructed using the copula function.Multi-zone life table is constructed using the copula function.Comparison of mortality rates in the multi-life table.Joint state of the individual under the assumption that mortality is greater than the mortality rate of individual independence.