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Biometrika 1986 73(3):597-604; doi:10.1093/biomet/73.3.597
© 1986 by Biometrika Trust
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Estimating distribution functions from survey data

R. L. CHAMBERS and R. DUNSTAN

Survey Design and Development Section Bureau of Agricultural Economics, Canberra City, A.C.T. 2601, Australia

A simple method for estimating population distribution functions and associated quantiles from sample survey data is described and some asymptotic theory for it presented. The method assumes a model-based approach to survey estimation and allows auxiliary population information to be directly incorporated into the estimation process. Monte Carlo results comparing the proposed method with conventional design-based methods are given. These suggest that the model-based approach offers significant gains when the auxiliary population information is linearly related to the survey variables of interest.

Key Words: Auxiliary information • Design-based approach • Finite population estimation • Finite population quantile • Model-based anproach • Sample survey


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