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Kalibraciniai įvertiniai baigtinių populiacijų statistikoje / Calibrated estimators in finite population statisticsPumputis, Dalius 10 June 2004 (has links)
Calibrated estimators of the population total and of the ratio of two totals. In the e are presented and analysed. Calibrated estimators – estimators in which auxiliary information is used in order to get more accurate estimates of the parameters. Different distance measures were used to construct calibrated estimators using the Lagrange multiplier method. It is known, that in some cases calibrated estimators coincide with the ratio estimators, which are more accurate if the study variable is well correlated with the known auxiliary variable. Three estimators of totals and three estimators of a ratio are presented in the work as well as their approximate variances and variance estimators. The approximate variances were calculated using Taylor linearization technique. The experimental comparison of the considered estimators is presented when correlation between study variable and known auxiliary variable is 0.8, 0.6, 0.4, 0.2. The computer program for the calculation is made using the Language of Technical Computing MATLAB.
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