Admissibility of the usual estimators under error-in-variables superpopulation model

	Admissibility of the usual estimators under error-in-variables superpopulation model
	Zou, GH ; Hua, L
刊名	STATISTICS & PROBABILITY LETTERS
	1997-03-15
卷号	32 期号:3 页码:301-309
关键词	superpopulation model measurement error quadratic estimator admissibility
ISSN号	0167-7152
英文摘要	In this paper, we first point out that a result in Mukhopadhyay (1994) on the optimality of the usual estimator s(y)(2) of finite population variance is not true. We then give a necessary and sufficient condition for ((1 - f)/n) s(y)(2) (where f means the sampling fraction) as the estimator of the precision of the sample mean <(y)over bar (s)> to be admissible in the class of quadratic estimators. Our result shows that there is virtual difference between the admissibility of estimators under error-in-variables superpopulation model and the usual superpopulation model. We also show that the improved estimator ((1 - f)/n) ((n - 1)/(n + 1)) s(y)(2) over ((1 - f)/n) s(y)(2) under the usual superpopulation model without measurement errors is admissible in the class of quadratic estimators.
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:A1997WL52700011
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/28913]
专题	中国科学院数学与系统科学研究院
作者单位	1.BEIJING NORMAL UNIV,DEPT MATH,BEIJING 100875,PEOPLES R CHINA 2.CHINESE ACAD SCI,INST SYST SCI,BEIJING 100080,PEOPLES R CHINA
推荐引用方式 GB/T 7714	Zou, GH,Hua, L. Admissibility of the usual estimators under error-in-variables superpopulation model[J]. STATISTICS & PROBABILITY LETTERS,1997,32(3):301-309.
APA	Zou, GH,&Hua, L.(1997).Admissibility of the usual estimators under error-in-variables superpopulation model.STATISTICS & PROBABILITY LETTERS,32(3),301-309.
MLA	Zou, GH,et al."Admissibility of the usual estimators under error-in-variables superpopulation model".STATISTICS & PROBABILITY LETTERS 32.3(1997):301-309.