Some Finite Population Unbiased Ratio and Regression Estimators

A class of ratio and regression type estimators is given such that the estimators are unbiased for random sampling, without replacement, from a finite population. Non-negative, unbiased estimators of estimator variance are provided for a subclass. Similar results are given for the case of generalized procedures of sampling without replacement. Efficiency is compared with comparable sample selection and estimation methods for this case. * Most of this research was done while the author was associated with Iowa State College. It was completed while he was associated with the RAND Corporation.