This paper examines a simple transformation which enables the use of product method in place of ratio method. The convenience with the former, proposed by Murthy , is that expressions for bias and mean square error (mse) can be exactly evaluated. The optimum situation in the minimum mse sense and allowable departures from this optimum are indicated. The procedure requires a good guess of a certain parameter, which does not seem very restrictive for practice. Two methods for dealing with the bias of the estimator are mentioned. An extension to use multiauxiliary information is outlined.
Key words and phrases
Probability sampling design ratio and product methods of estimation bias mean square error interpenetrating subsamples simple random sampling
AMS subject classification
Primary 62 D05
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