Estimation of population distribution function in the presence of non-response using stratified random sampling
Mazhar Yaqub, Fariha Sohil, Javid Shabbir, Muhammad Umair Sohail
Abstract
This article addresses the problem of estimating the population distribution function for stratified random sampling in the presence of non-response. We suggest a generalized class of estimators for estimating the finite cumulative distribution function using the auxiliary information. Expressions for bias and mean squared error are derived up to the first order of approximation. The performance of the estimators are compared both theoretically and numerically. A real data set is used to support the theoretical findings.
Topics & Concepts
EstimatorStratified samplingMathematicsStatisticsCumulative distribution functionMean squared errorPopulation meanSampling (signal processing)Applied mathematicsPopulationFunction (biology)Sampling distributionProbability density functionComputer scienceSociologyComputer visionFilter (signal processing)DemographyBiologyEvolutionary biologySurvey Sampling and Estimation TechniquesStatistical Methods and Bayesian InferenceBayesian Methods and Mixture Models