Admissibility of Linear Predictors of Finite Population Parameters under Reflected Normal Loss Function

Authors

  • N. Nematollahi Department of Statistics, Faculty of Mathematical Sciences and Computer, Allameh Tabataba’i University, Tehran, Islamic Republic of Iran
  • R. Jafaraghaie Department of Statistics, Faculty of Mathematical Sciences and Computer, Allameh Tabataba’i University, Tehran, Islamic Republic of Iran
Abstract:

One of the most important prediction problems in finite population is the prediction of a linear function of characteristic values of a finite population. In this paper the admissibility of linear predictors of an arbitrary linear function of characteristic values in a finite population under reflected normal loss function is considered. Under the super-population model, we obtain the conditions for which the linear predictors are admissible. Also, the risk of some admissible and inadmissible predictors are compared by a simulation study.

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Journal title

volume 27  issue 4

pages  355- 366

publication date 2016-11-01

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