On variance estimation of the ratio estimator under two-phase sampling

doi:10.1080/02331880290015413

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	On variance estimation of the ratio estimator under two-phase sampling
	Zou, GH ; Li, Y
	2003
发表期刊	STATISTICS
ISSN	0233-1888
卷号	37 期号:1 页码:1-16
摘要	Using the estimated loss function approach, we compare the variance estimators of the ratio estimator proposed by Rao and Sitter (1995) and S<(a)double over dot>rndal (1992) with the usual one under two-phase sampling. Our results show that their variance estimators are better than the usual one when the size of the second phase sample is greater than 2, which gives a theoretical verification of Rao and Sitter's observation through simulation. We also propose some other variance estimators which improve the ones in Rao and Sitter (1995) and S<(a)double over dot>rndal (1992). The simulation results on the properties of the proposed variance estimators relative to the empirical mean squared error are reported.
关键词	ratio estimation superpopulation model two-phase sampling variance estimation
DOI	10.1080/02331880290015413
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000180913300001
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18915
专题	中国科学院数学与系统科学研究院
通讯作者	Zou, GH
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China
推荐引用方式 GB/T 7714	Zou, GH,Li, Y. On variance estimation of the ratio estimator under two-phase sampling[J]. STATISTICS,2003,37(1):1-16.
APA	Zou, GH,&Li, Y.(2003).On variance estimation of the ratio estimator under two-phase sampling.STATISTICS,37(1),1-16.
MLA	Zou, GH,et al."On variance estimation of the ratio estimator under two-phase sampling".STATISTICS 37.1(2003):1-16.