Estimación de la función de distribución y cuantiles en la población de pobres

The poverty line is an economic indicator that divides a population into poor and non poor. Studies about poverty are highly interested on the population of poor, hence they measure the distribution and intensity of the poor through different indicators. Such indicators are generally based upon the distribution function and quantiles. Assuming an arbitrary sampling design, the estimation of the previous parameters is discussed in this paper. Proposed estimators are numerically evaluated via Monte Carlo simulation studies and using data extracted from the Spanish Household Panel Survey.