TY - JOUR
T1 - Admissible and minimax estimation of the parameter n in the binomial distribution
AU - Zou, Guohua
AU - Wan, Alan T.K.
PY - 2003/5/1
Y1 - 2003/5/1
N2 - 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. © 2002 Elsevier Science B.V. All rights reserved.
AB - 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. © 2002 Elsevier Science B.V. All rights reserved.
KW - Admissibility
KW - Binomial distribution
KW - Minimaxity
KW - Number of trials
KW - Quadratic loss
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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0037408775&origin=recordpage
U2 - 10.1016/S0378-3758(02)00113-1
DO - 10.1016/S0378-3758(02)00113-1
M3 - RGC 21 - Publication in refereed journal
SN - 0378-3758
VL - 113
SP - 451
EP - 466
JO - Journal of Statistical Planning and Inference
JF - Journal of Statistical Planning and Inference
IS - 2
ER -