Estimation of Finite Population Variance, Regression Coefficient
In this chapter we consider estimation of a finite population variance and regression coefficient. The estimation of population variance is of considerable importance in many circumstances. The geneticsts often classify their population according to population variance [Thompson and Thoday (1979)]. In allocating sample size in a stratified random sampling according to optimum allocation rules, the stratum standard deviations are required to be estimated. Sections 5.2 through 5.4 consider design-based, model-based and Bayes prediction of a finite population variance. Section 5.5 considers some asymptotic properties of a sample regression coefficient. The next section considers pm-unbiased prediction of the slope parameter in the linear regression model. The concluding section addresses optimal prediction of the finite population regression coefficient under multiple regression model.
KeywordsUnbiased Estimator Finite Population Linear Unbiased Predictor Good Linear Unbiased Estimator Superpopulation Model
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