Estimation of a Ratio in the Finite Population
Volume 16, Issue 3 (2005), pp. 347–364
Pub. online: 1 January 2005
Type: Research Article
Received
1 November 2004
1 November 2004
Published
1 January 2005
1 January 2005
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.