A GENERAL RATIO ESTIMATOR AND ITS APPLICATION
IN MODEL BASED INFERENCE

Z. OUYANG1, J. N. SRIVASTAVA2 AND H. T. SCHREUDER1

1 240 W. Prospect St., Rocky Mountain Forest Experiment Station,
Fort Collins, CO 80521, U.S.A.

2 Department of Statistics, Colorado State University,
Fort Collins, CO 80523, U.S.A.

(Received October 29, 1990; revised April 16, 1992)

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.

Key words and phrases:    Finite population sampling, sample weight function, linear model, regression estimator, the Horvitz-Thompson estimator.

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