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

Document Type: Final File

Authors

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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