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Successive sampling using a multivariate product estimate. (Spanish. English summary) Zbl 1049.62006

Summary: The problem of estimation of a finite population mean for the current occasion based on samples selected over two occasions has been considered. For the case when two auxiliary variables are negatively correlated with the main variable, a double-sampling multivariate product estimate from the matched portion of the sample is presented. Expressions for the optimum estimator and its variance have been derived. The gain in efficiency of the combined estimate over the direct estimate using no information gathered on the first occasion is computed.
A comparison with the univariate product estimator has been made, giving the specific situations under which either of them may be efficiently used. An empirical study is also included for illustration.

MSC:

62D05 Sampling theory, sample surveys
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