Finite Population Distribution Function Estimation Using Auxiliary Information Under Simple Random Sampling
Sohaib Ahmad, Sardar Hussain, Sohail Ahmad
Abstract
In this paper, a new estimator for estimating the finite population distribution function(DF) are propose using supplementary information on the DF of the auxiliary variable under simple random sampling. A comparative study is conducted to compare, theoretically and numerically, the adapted distribution function estimators of Cochran (1940), Murthy (1967), Bahl and Tuteja (1991), Rao (1991), Singh et al. (2009) and Grover and Kaur (2014) with the proposed estimators. It is found that the proposed estimators always perform better than the adapted estimators in terms of MSE and percentage relative efficiency.
Topics & Concepts
EstimatorMathematicsSimple random sampleStatisticsApplied mathematicsPopulation meanRandom variableSimple (philosophy)Function (biology)EfficiencyPopulationSampling (signal processing)AlgorithmComputer scienceFilter (signal processing)PhilosophyEvolutionary biologyDemographySociologyBiologyComputer visionEpistemologySurvey Sampling and Estimation TechniquesMathematical and Theoretical Epidemiology and Ecology Models