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Revista Colombiana de Estadística
Article . 2015 . Peer-reviewed
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Revista Colombiana de Estadística
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Article . 2015
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Estimating Population Proportions by Means of Calibration Estimators

Estimating population proportions by means of calibration estimators
Authors: MARTÍNEZ, SERGIO; ARCOS, ANTONIO; MARTÍNEZ, HELENA; SINGH, SARJINDER;

Estimating Population Proportions by Means of Calibration Estimators

Abstract

Summary: This paper considers the problem of estimating the population proportion of a categorical variable using the calibration framework. Different situations are explored according to the level of auxiliary information available and the theoretical properties are investigated. A new class of estimator based upon the proposed calibration estimators is also defined, and the optimal estimator in the class, in the sense of minimal variance, is derived. Finally, an estimator of the population proportion, under new calibration conditions, is defined. Simulation studies are considered to evaluate the performance of the proposed calibration estimators via the empirical relative bias and the empirical relative efficiency, and favourable results are achieved.

Keywords

Finite Population, Statistics, Auxiliary Information, calibración, información auxiliar, auxiliary information, finite population, estimators, calibration, HA1-4737, Estimators, Calibration, Sampling theory, sample surveys, sampling design, estimadores, población finita, Sampling Design, diseño muestral

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
gold
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