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A general ratio estimator and its application in model based inference
Authors:Z. Ouyang   J. N. Srivastava  H. T. Schreuder
Affiliation:(1) Rocky Mountain Forest Experiment Station, 240 W. Prospect St., 80521 Fort Collins, CO, USA;(2) Department of Statistics, Colorado State University, 80523 Fort Collins, CO, USA
Abstract:A general ratio estimator of a population total is proposed as an approximation to the estimator introduced by Srivastava (1985,Bull. Internat. Statist. Inst.,51(10.3), 1–16). This estimator incorporates additional information gathered during the survey in a new way. Statistical properties of the general ratio estimator are given and its relationship to the estimator proposed by Srivastava is explored. A special kind of general ratio estimator is suggested and it turns out to be very efficient in a simulation study when compared to several other commonly used estimators.The work of this author was supported by AFOSR grant #830080.
Keywords:Finite population sampling  sample weight function  linear model  regression estimator  the Horvitz-Thompson estimator
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