文章基本信息

标题：Estimation of population ratio, product, and mean using multiauxiliary information with random nonresponse
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作者：Housila P. Singh ; Prem Chandra ; Inderjit Singh Grewal 等
期刊名称：Statistica
印刷版ISSN：1973-2201
出版年度：2012
卷号：72
期号：4
页码：449-480
DOI：10.6092/issn.1973-2201/3658
语种：English
出版社：Dep. of Statistical Sciences "Paolo Fortunati", Università di Bologna
摘要：In this paper, a family of estimators of population ratio R , product P and mean Y 0 has been suggested using multi-auxiliary information under simple random sampling without replacement (SRSWOR) and its properties have been discussed. We have further suggested three families of estimators in the presence of random non-response in different situations under an assumption that the number of sampling units on which information cannot be obtained due to random non-response follows some distribution. The estimators of the family involve unknown constants whose optimum values depend on unknown population parameters. When these population parameters are replaced by their consistent estimates, the resulting estimators are shown to have the same asymptotic mean squared error (MSE). The work of Singh et al. (2007) is shown as a special case. At the end, numerical comparisons are also made.