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Estimation of a Population Total Under a "Bernoulli Sampling" Procedure

Michael M. Strand
The American Statistician
Vol. 33, No. 2 (May, 1979), pp. 81-84
DOI: 10.2307/2683226
Stable URL: http://www.jstor.org/stable/2683226
Page Count: 4
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Estimation of a Population Total Under a "Bernoulli Sampling" Procedure
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Abstract

At least two computer program packages, SPSS and STRATA, use simulated Bernoulli trials to draw (without replacement) a random sample of records from a finite population of records. Therefore, the size of the sample is a random variable. Two estimators of a population total under this sampling procedure are compared with the usual estimator under simple random sampling. Conditions under which the Bernoulli sampling estimators have almost the same mean squared error as the simple random-sample estimator are illustrated.

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