分析柯西分布函数的特性,说明在众多连续型分布函数下,在copula分布估计算法中建立柯西分布概率模型的可行性。通过描述柯西分布以及逆累积分布函数的采样,给出柯西分布函数参数不同的估计方法,得到相应的采样及完整的分布估计算法.进行仿真实验比较柯西分布概率模型的copula分布估计算法和经验分布概率模型的copula分布估计算法,说明柯西分布概率模型的copula分布估计算法的有效性。
By analyzing the characteristics of the Cauchy distribution function, the feasibility to establish the Cauchy distribution probability model in the copula estimation of distribution algorithm in many continuous distribution function was described, Through the description of Cauchy distribution and the inverse cumulative distribution function to sample, the different estimation methods of parameters from the Cauchy distribution function were obtained, as well as the corresponding sampling and the integrity of the estimation of distribution algorithm. Simulation experiments are carried out to compare copula estimation of distribution algorithm of Cauchy distribution probability model and the copula estimation of distribution algorithm of empirical distribution probability model, which has proved that the copula estimation of distribution algorithm of Cauchy distribution probability model is effective