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Determining [formula omitted] optimum calibration points to construct calibration estimators of the distribution function

Authors
Journal
Journal of Computational and Applied Mathematics
0377-0427
Publisher
Elsevier
Volume
275
Identifiers
DOI: 10.1016/j.cam.2014.07.020
Keywords
  • Auxiliary Information
  • Calibration Technique
  • Distribution Function Estimates
  • Survey Sampling
Disciplines
  • Design
  • Mathematics

Abstract

Abstract Survey statisticians make use of auxiliary information to improve estimates, for example in calibration estimation, introduced in Deville and Särndal (1992), which is used to obtain new weights that are close to the basic design weights and that, at the same time, comply with benchmark constraints on the auxiliary information available. Rueda et al. (2007) applied this calibration technique to estimate the distribution function. This estimator of the distribution function is built by means of constraints that require the use of a set of fixed values t1,t2,…,tP. The precision of the resulting calibration estimator varies according to the selection of ti. In the present work, we study the problem of determining the optimal values ti that give the best possible estimation under simple random sampling without replacement.

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