This paper considers estimators of the distribution function of a variable over a finite population, when a sample of units is available and values of a related auxiliary variable are known for the whole population. Theory is offered for several estimators which rely on nonparametric regression, and for calibration estimators which require a parametric model.
@article{1176349267,
author = {Dorfman, Alan H. and Hall, Peter},
title = {Estimators of the Finite Population Distribution Function using Nonparametric Regression},
journal = {Ann. Statist.},
volume = {21},
number = {1},
year = {1993},
pages = { 1452-1475},
language = {en},
url = {http://dml.mathdoc.fr/item/1176349267}
}
Dorfman, Alan H.; Hall, Peter. Estimators of the Finite Population Distribution Function using Nonparametric Regression. Ann. Statist., Tome 21 (1993) no. 1, pp. 1452-1475. http://gdmltest.u-ga.fr/item/1176349267/