基于不完整数据分布参数的估计

PARAMETERS ESTIMATE OF DISTRIBUTION BASED ON INCOMPLETE DATA

基于不完整数据 ,提出一种分布参数的估计方法———用Taylor级数和Marquardt的最小二乘法给出分布参数的估计。最后作为例子 ,结合Weibull分布、正态分布的数据进行计算 。

In the reliability engineering the situation of incomplete data happens sometimes, especially in high reliability and small sampling tests. The incomplete data research is a new field in the recent years, but it is required urgently in practical projects, so the work has more theory and practice values. In this paper, in order to estimate the distribution parameters from incomplete data, a method based on Marquardt's least square method used to estimate parameters is proposed. Finally as example, combine Weibull distribution and normal distribution, calculation is performed regarding to simulation data, results explain: textual method good for estimate of distribution parameters.