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  • 标题:Multivariate Ratio Estimator of the Population Total under Stratified Random Sampling
  • 本地全文:下载
  • 作者:Oscar O. Ngesa ; G. O. Orwa ; R. O. Otieno
  • 期刊名称:Open Journal of Statistics
  • 印刷版ISSN:2161-718X
  • 电子版ISSN:2161-7198
  • 出版年度:2012
  • 卷号:2
  • 期号:3
  • 页码:300-304
  • DOI:10.4236/ojs.2012.23036
  • 出版社:Scientific Research Publishing
  • 摘要:Olkin [1] proposed a ratio estimator considering p auxiliary variables under simple random sampling. As is expected, Simple Random Sampling comes with relatively low levels of precision especially with regard to the fact that its variance is greatest amongst all the sampling schemes. We extend this to stratified random sampling and we consider a case where the strata have varying weights. We have proposed a Multivariate Ratio Estimator for the population mean in the presence of two auxiliary variables under Stratified Random Sampling with L strata. Based on an empirical study with simulations in R statistical software, the proposed estimator was found to have a smaller bias as compared to Olkin’s estimator.
  • 关键词:Ratio Estimator; Stratification; Auxiliary Variables; Lagrange’s Multiplier
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