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Calibration Weighting Methods for Complex Surveys
Authors:Changbao Wu  Wilson W. Lu
Affiliation:1. Department of Statistics and Actuarial Science, University of Waterloo, Waterloo, Ontario, Canada;2. Department of Mathematics and Statistics, Acadia University, Wolfville, Nova Scotia, Canada
Abstract:This paper presents a careful investigation of the three popular calibration weighting methods: (i) generalised regression; (ii) generalised exponential tilting and (iii) generalised pseudo empirical likelihood, with a major focus on computational aspects of the methods and some empirical evidences on calibrated weights. We also propose a simple weight trimming method for range‐restricted calibration. The finite sample behaviour of the weights obtained by the three calibration weighting methods and the effectiveness of the proposed weight trimming method are examined through limited simulation studies.
Keywords:Exponential tilting  Kullback–  Leibler distance  Newton–  Raphson procedure  range‐restricted calibration weights  regression weighting  pseudo empirical likelihood
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