Franco, Bruno Chaves [UNESP]Castagliola, PhilippeCelano, GiovanniBranco Costa, Antonio Fernando [UNESP]2014-12-032014-12-032014-07-03Journal of Applied Statistics. Abingdon: Taylor & Francis Ltd, v. 41, n. 7, p. 1408-1421, 2014.0266-4763http://hdl.handle.net/11449/113605The ratio method is commonly used to the estimation of means and totals. This method was extended to the problem of estimating the distribution function. An alternative ratio estimator of the distribution function is defined. A result that compares the variances of the aforementioned ratio estimators is used to define optimum design-based ratio estimators of the distribution function. Different empirical results indicate that the optimum ratio estimators can be more efficient than alternative ratio estimators. In addition, we show by simulations that alternative ratio estimators can have large biases, whereas biases of the optimum ratio estimators are negligible in this situation.1408-1421enginclusion probabilityauxiliary informationvariancelow income proportionquantileArtigoWOS:000335854800002Acesso restrito6100382011052492