The Coordinate-Free Prediction in Finite Populations with Correlated Observations
作者: Silvia N. Elian
刊名: Open Journal of Statistics, 2017, Vol.7 (2), pp.182-193
来源数据库: Scientific Research Publishing Journal
DOI: 10.4236/ojs.2017.72014
原始语种摘要: In this paper, we got the best linear unbiased predictor of any linear function of the elements of a finite population under coordinate-free models. The optimal predictor of these quantities was obtained in an earlier work considering models with a known diagonal covariance matrix. We extended this result assuming any known covariance matrix. It is shown that in the particular case of the coordinatized models, this general predictor coincides with the optimal predictor of the total population under a regression super population model with correlated observations.
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  • covariance 协方差
  • optimal 最佳的
  • unbiased 不偏性
  • predictor 预示
  • particular 细致的
  • general 普遍的
  • population 母体
  • elements 初步
  • total 总和
  • regression 海退