Abstract
<p>In this paper, the calibration approach is revisited in order to allow newcalibration weights that are subject to the restriction of multiple calibration equations on a vector of ratios, means and proportions. The classical approach is extended in such a way that the calibration equations are not based on a vector of totals, but on a vector of other nonlinear parameters. We stated some properties of the resulting estimators and carry out some empirical simulations in order to asses the performance of this approach. We found that this methodology is suitable for some practical situations like vote intention estimation, estimation of labor force, and retrospective studies. The methodology is applied in the context of the Presidential elections held in Colombia in 2014 for which we estimated the vote intention in the second round using information from an election poll, taking the results fromthe first round as auxiliary information.</p>
Highlights
Consider a finite population U as a set of N units labeled as {1, . . . , N }
We found that all of relative biases are negligible, and the lower coefficient of variation is that induced by the calibration estimator on auxiliary ratios (CALR) estimator
RCHT denotes the relative efficiency between the Horvitz-Thompson estimator (HT) estimator and the calibration estimator (CAL) estimator, RRHT denotes the relative efficiency between the HT estimator and the CALR estimator and RRC denotes the relative efficiency between the CALR estimator and the CAL estimator
Summary
Consider a finite population U as a set of N units labeled as {1, . . . , N }. K∈s where wk (k ∈ s) is the calibrated weight of unit k, induced by the use of auxiliary information in the form of a vector of population totals tx = This paper deals with this issue and it can be considered a fallow an to Lesage’s (2011) suggestion, who claimed that it would be interesting to determine the practical cases in which the use of complex parameters in the calibration improves the precision of the parameters of interest He examined calibration in terms of ratio, median and variance of auxiliary variables. This paper split up into the following section: after a brief introduction, Section 2 describes the estimation of total by using the calibration approach with a vector of known ratios along with some interesting properties and some specific scenarios.
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