离散样本数据的多峰分布测度及其应用

在描述样本数据多峰分布现象的基础上,定义了用样本数峰值之间的凹陷区域面积测度表征离散样本数据多峰分布程度的统计指标,给出了多峰分布度的计算方法。提出了在多样本组中识别具有多峰分布形态的样本组和测度该样本组多峰分布度的步骤。以一个具有多峰分布形态的离散样本组为实例,阐述了多峰分布度在数理统计中的应用,分析了造成多峰分布的原因和解决办法,提高了样本的统计指标性能。

Multi-peak Distribution Measurement of Discrete Sample Data and Its Application

By analyzing the multi-peak distribution of discrete sample data, a statistical index of multi-peak distribution degrees is defined and the computing formula is given in this paper.The multi-peak distribution degree is measured by means of the concave area between the peaks' values of those samples.Then, the procedure is presented to identify the samples with multi-peak distribution and to measure the distribution degree.Finally, the proposed method is illustrated by using an application example, in which the causes of multi-peak distribution are analyzed and the solving method is given.