A new representation method for probability distributions of multimodal and irregular data based on uniform mixture model

doi:10.1007/s10479-019-03236-9

CORC > 兰州理工大学 > 兰州理工大学 > 机电工程学院

	A new representation method for probability distributions of multimodal and irregular data based on uniform mixture model
	Gao, Jianxiong; An, Zongwen; Bai, Xuezong
刊名	ANNALS OF OPERATIONS RESEARCH
	2022-04-01
卷号	311 期号:1 页码:81-97
关键词	Multimodal and irregular data Uniform mixture model Randomness Fatigue crack Reliability
ISSN号	0254-5330
DOI	10.1007/s10479-019-03236-9
英文摘要	Randomness is a major characteristic of observed data from practical engineering. Sometimes the probability distributions of observed data may exhibit bimodal, multimodal or even irregular features. Under these circumstances, the adequacy of typical unimodal distributions may be questioned. To solve this issue, a new representation method for probability distributions of multimodal and irregular data is presented in this study. Firstly, an uniform mixture model (UMM) is developed by a weighted combination of multiple uniform distribution components. Then, the UMM is applied to approximate probability distributions of multimodal and irregular data, and the weighting coefficients of UMM can be easily derived from the frequency histogram of observed data. Finally, the fatigue crack growth data of 2024-T351 aluminum alloy are used to verify the validity of the proposed method. The results indicate that the proposed method is accurate and flexible enough to characterize the probability distributions of various kinds of multimodal and irregular data. The average relative errors of the proposed method are very small, and the approximation accuracy can be improved by reducing the interval width.
WOS研究方向	Operations Research & Management Science
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000767859400007
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/158078]
专题	机电工程学院
作者单位	Lanzhou Univ Technol, Sch Mech & Elect Engn, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Gao, Jianxiong,An, Zongwen,Bai, Xuezong. A new representation method for probability distributions of multimodal and irregular data based on uniform mixture model[J]. ANNALS OF OPERATIONS RESEARCH,2022,311(1):81-97.
APA	Gao, Jianxiong,An, Zongwen,&Bai, Xuezong.(2022).A new representation method for probability distributions of multimodal and irregular data based on uniform mixture model.ANNALS OF OPERATIONS RESEARCH,311(1),81-97.
MLA	Gao, Jianxiong,et al."A new representation method for probability distributions of multimodal and irregular data based on uniform mixture model".ANNALS OF OPERATIONS RESEARCH 311.1(2022):81-97.