Admissible and minimax estimation of the parameter n in the binomial distribution
文献类型:期刊论文
作者 | Zou, G; Wan, ATK |
刊名 | JOURNAL OF STATISTICAL PLANNING AND INFERENCE
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出版日期 | 2003-05-01 |
卷号 | 113期号:2页码:451-466 |
关键词 | admissibility binomial distribution minimaxity number of trials quadratic loss |
ISSN号 | 0378-3758 |
英文摘要 | In this paper, the problem of estimating the parameter n of the binomial distribution is considered under the assumption of both infinite and finite parameter spaces. A class of estimators, which include as a special case Sadooghi-Alvandi's [Ann. Statist. 14 (1986) 1634] estimator is considered; and the necessary and sufficient conditions for this class of estimators to be admissible are obtained, along with a new proof on the admissibility of Sadooghi-Alvandi's estimator. Furthermore, the minimax property of some estimators is investigated. (C) 2002 Elsevier Science B.V. All rights reserved. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000181546700006 |
出版者 | ELSEVIER SCIENCE BV |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18983] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
作者单位 | 1.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.City Univ Hong Kong, Dept Management Sci, Hong Kong, Hong Kong, Peoples R China |
推荐引用方式 GB/T 7714 | Zou, G,Wan, ATK. Admissible and minimax estimation of the parameter n in the binomial distribution[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE,2003,113(2):451-466. |
APA | Zou, G,&Wan, ATK.(2003).Admissible and minimax estimation of the parameter n in the binomial distribution.JOURNAL OF STATISTICAL PLANNING AND INFERENCE,113(2),451-466. |
MLA | Zou, G,et al."Admissible and minimax estimation of the parameter n in the binomial distribution".JOURNAL OF STATISTICAL PLANNING AND INFERENCE 113.2(2003):451-466. |
入库方式: OAI收割
来源:数学与系统科学研究院
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