摘要
提出了一类数据不完整情况下的参数估计方法 ,这类方法以分布函数或其各阶导数和频率间的关系为基础 ,并利用最小二乘法建立求解未知分布参数的方程组。另外 ,针对一些常见概率密度函数的特点 ,文中通过合理的近似 ,提出了一种简化的参数求解方法。实例表明本文方法求解出的未知分布参数精度较高 ,对于一些常见的概率分布函数 ,简化方法的求解过程相当简单。
In this paper a class of methods are presented to estimate the parameters from incomplete data.These methods are based on the relation between the distribution functions or its derivertives and the frequency.The least square thorem is used to derive general equations to solve unknown parameters.In addition,a simplfied method is discussed for the relation between the density function and frequency.Examples prove that the parameters estimated by these methods are more accurate,and simplified method can easliy estimate the parameters on the occasion of common distribution functions.
出处
《太原理工大学学报》
CAS
2000年第6期732-736,共5页
Journal of Taiyuan University of Technology
关键词
不完善数据
频率
概率密度函数
概率分布函数
参数估计
incomplete date
frequency
probatility density function
probability distribution function