Estimation of a Ratio in the Finite Population

Article type: Research Article

Authors: Krapavickaitė, Danutė | Plikusas, Aleksandras

Affiliations: Institute of Mathematics and Informatics, Akademijos 4, 08663 Vilnius, Lithuania, e-mail: {krapav,plikusas}@ktl.mii.lt

Abstract: Estimation of the ratio of two totals is considered, when a probability sample from the finite population is available. Four estimators of the ratio are examined. The first one – called “simple” – is the ratio of the Horvitz–Thompson estimators of totals; the second – the ratio of two ratio estimators of totals; the third one – the ratio of two regression estimators of totals. The fourth one is a calibrated estimator of the ratio. The variances of these estimators are compared. The properties of such estimators of the ratio are studied. The simulation results are presented.

Keywords: finite population, probability sample, ratio of two totals, calibrated estimator

Journal: Informatica, vol. 16, no. 3, pp. 347-364, 2005