admissibility of linear predictors of finite population parameters under reflected normal loss function

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.