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. |
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