Survival function and density estimation for truncated dependent data
文献类型：期刊论文
| 作者 | Sun, LQ ; Zhou, X
|
| 刊名 | STATISTICS & PROBABILITY LETTERS
 |
| 出版日期 | 2001-03-15 |
| 卷号 | 52期号:1页码:47-57 |
| 关键词 | alpha-mixing product-limit estimator kernel density and hazard rate estimation strong representation |
| ISSN号 | 0167-7152 |
| 英文摘要 | In some long-term studies, a series of dependent and possibly truncated lifetimes may be observed. Suppose that the lifetimes have a common marginal distribution function. Under some regularity conditions, we provide a strong representation of the product-limit estimator in the form of an average of random variables plus a remainder term. In addition, we also give asymptotic representations for the kernel estimators of the density and the hazard rate. These representations enable us to obtain the asymptotic normality and the uniform consistency of the estimators. (C) 2001 Elsevier Science B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000167311000006 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16030]  |
| 专题 | 应用数学研究所 |
| 作者单位 | 1.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China 2.Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sun, LQ,Zhou, X. Survival function and density estimation for truncated dependent data[J]. STATISTICS & PROBABILITY LETTERS,2001,52(1):47-57. |
| APA | Sun, LQ,&Zhou, X.(2001).Survival function and density estimation for truncated dependent data.STATISTICS & PROBABILITY LETTERS,52(1),47-57. |
| MLA | Sun, LQ,et al."Survival function and density estimation for truncated dependent data".STATISTICS & PROBABILITY LETTERS 52.1(2001):47-57. |
入库方式： OAI收割
来源：数学与系统科学研究院
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