Admissible and minimax estimation of the parameter n in the binomial distribution

CSpace

	Admissible and minimax estimation of the parameter n in the binomial distribution
	Zou, G ; Wan, ATK
	2003-05-01
发表期刊	JOURNAL OF STATISTICAL PLANNING AND INFERENCE
ISSN	0378-3758
卷号	113 期号:2 页码:451-466
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.
关键词	admissibility binomial distribution minimaxity number of trials quadratic loss
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000181546700006
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18984
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.