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Admissible and minimax estimation of the parameter n in the binomial distribution
Zou, G; Wan, ATK
2003-05-01
Source PublicationJOURNAL OF STATISTICAL PLANNING AND INFERENCE
ISSN0378-3758
Volume113Issue:2Pages:451-466
AbstractIn 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.
Keywordadmissibility binomial distribution minimaxity number of trials quadratic loss
Language英语
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000181546700006
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18984
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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