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A GENERAL RATIO ESTIMATOR AND ITS APPLICATION

IN MODEL BASED INFERENCE

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Z. OUYANG^{1}, J. N. SRIVASTAVA^{2} AND H. T. SCHREUDER^{1}

^{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.

**Source**
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