随机变量多重Weibull统计模型及参数最优估计

Multi-Weibull Statistical Model of Random Variables and Optimal Estimation of Its Parameters

利用Weibull分布函数兼容性好的特点,采用混合Weibull分布模型来描述复杂随机变量分布,并按照最小二乘法原则,对统计模型参数进行最优化估计,建立复杂随机变量分布的统计模型。对某汽车发动机工作转矩统计模型的建立示例表明,多重Weibull分布适合用来表达一些复杂随机变量的统计特性,参数估计的最优化模型适用,参数优化估计过程能可靠收敛。

To establish theoretical statistical model for more complex random variables in engineering, multi-Weibull distribution is used to describe the statistical distribution of complex random variables, regarding the adaptability of Weibull distribution. In order to estimate the parameter of multi-Weibull distribution correctly, optimization model for estimating parameters of multiple-mixed Weibull distribution is presented, based on the principle of least-square. In the optimal estimation for the distribution p...