Applications of the representative points in statistical simulations
文献类型：期刊论文
| 作者 | Fang KaiTai3; Zhou Min3; Wang WenJun1 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2014 |
| 卷号 | 57期号:12页码:2609-2620 |
| 关键词 | DENSITY-FUNCTION bootstrap kernel density estimation normal distribution representative points resampling statistical simulation |
| ISSN号 | 1674-7283 |
| 其他题名 | Applications of the representative points in statistical simulations |
| 英文摘要 | The paper gives a new approach to statistical simulation and resampling by the use of number-theoretic methods and representative points. Resempling techniques take samples from an approximate population. The bootstrap suggests to use a random sample to form an approximate population. We propose to construct some approximate population distribution by the use of two kinds of representative points, and samples are taken from these approximate distributions. The statistical inference is based on those samples. The statistical inference in this paper involves estimation of mean, variance, skewness, kurtosis, quantile and density of the population distribution. Our results show that the new method can significantly improve the results by the use of Monte Carlo methods. |
| 资助项目 | [Special Research Foundation from the Chinese Academy of Sciences] ; [Beijing Normal University-Hong Kong Baptist University United International College Research] ; [National Natural Science Foundation of China] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:5328465 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/54471]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.海南师范大学 2.中国科学院数学与系统科学研究院 3.北京师范大学 |
| 推荐引用方式 GB/T 7714 | Fang KaiTai,Zhou Min,Wang WenJun. Applications of the representative points in statistical simulations[J]. SCIENCE CHINA-MATHEMATICS,2014,57(12):2609-2620. |
| APA | Fang KaiTai,Zhou Min,&Wang WenJun.(2014).Applications of the representative points in statistical simulations.SCIENCE CHINA-MATHEMATICS,57(12),2609-2620. |
| MLA | Fang KaiTai,et al."Applications of the representative points in statistical simulations".SCIENCE CHINA-MATHEMATICS 57.12(2014):2609-2620. |
入库方式： OAI收割
来源：数学与系统科学研究院
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