• The Korean Journal of Applied Statistics
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• v.31 no.3
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• pp.397-408
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• 2018

Various methods for accurate parameter estimation have been developed in a sample survey and it is also common to use a ratio estimator or the regression estimator using auxiliary information. The ratio-type estimator has been used in many recent studies and is known to improve the accuracy of estimation by adjusting the ratio estimator. However, various studies are under way to solve it since the ratio-type estimator is biased. In this study, we propose a generalized ratio-type estimator with a new parameter added to the ratio-type estimator to remove the bias. We suggested a method to apply this result to the parameter estimation under the error assumption of heteroscedasticity. Through simulation, we confirmed that the suggested generalized ratio-type estimator gives good results compared to conventional ratio-type estimators.

• Survey Research
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• v.9 no.2
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• pp.151-166
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• 2008

This paper deals with the use of the separate ratio estimator in the survey of cultivated land area. As a kind of repeated survey conducted every year, this survey estimates the total cultivated land area by using the separate ratio estimator. When using the separate ratio estimation in the survey, we may face with some practical problems such as (i) changing population size over time, (ii) auxiliary variables taken zero values in some strata and (iii) changing stratification criteria due to sample redesign. In this paper, after investigating practical problems occurred in the survey we presented some adjusted separate ratio estimators to tackle such problems.