Estimation in Multi-Stage Surveys
作者:
Alastair Scott,
T.M. F. Smith,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1969)
卷期:
Volume 64,
issue 327
页码: 830-840
ISSN:0162-1459
年代: 1969
DOI:10.1080/01621459.1969.10501015
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A superpopulation model is proposed for two-stage sampling from a finite population and we consider the problem of estimating a linear function of the finite population elements. We find the estimate with smallest mean squared error among linear estimates with bounded mean squared error without any assumption about the form of the super-population distribution. If the superpopulation is assumed to be normal this estimate is the mean of the posterior distribution. The estimate is compared with standard results for the special case of the finite population mean.
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