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本文从常规的分布函数拟合的基本原理出发,应用最优化思想将分布函数参数估计问题归结成优化问题,提出了三类通用的分布函数参数估计优化模型,讨论了分布拟合的全过程,编制了相应的计算机程序,并用Monte-Carlo模拟试验验证了所述模型的正确性。 对常用的参数估计的极大似然法、概率纸法、分布图法分别进行解析,可构造三类相应的参数估计优化模型:
Based on the basic principle of normal distribution function fitting, the optimization method is applied to optimize the parameter estimation of distribution function, and three general optimization models for parameter estimation of distribution function are proposed. The whole process of distribution fitting is discussed. The corresponding computer program was compiled, and the correctness of the model was verified by Monte-Carlo simulation. The maximum likelihood method, probability paper method and distribution graph method of commonly used parameter estimation are respectively analyzed, and three types of corresponding parameter estimation optimization models can be constructed: