, Volume 28, Issue 4, pp 1068–1070 | Cite as

Comments on: Deville and Särndal’s calibration: revisiting a 25 years old successful optimization problem

  • Domingo MoralesEmail author

This paper gives a very complete and comprehensive account of the literature on calibration of sampling weights. The paper proposes a formulation to the problem of calibration by focusing on issues related to optimization. The paper lists most of the pseudo-distances that have been proposed in the literature and discusses the existence of solutions including when limits are imposed on weights. The paper presents the general formulation of calibration estimators and the distance minimization approach. The theory of generalized calibration and the variance estimation problem are also treated. The paper concludes with some numerical experiments. The authors have made a nice contribution to the literature of survey sampling and inference in finite population that is far from being simple. They also have found the way of presenting results in a friendly and rigourously way.

The paper starts by motivating the construction of the calibration estimators. The original idea of calibration is to...



  1. Ali SM, Silvey SD (1966) A general class of coefficient of divergence of one distribution from another. J R Statistical Soc Ser B 286:131–142MathSciNetzbMATHGoogle Scholar
  2. Csiszár I (1963) Eine Informationstheoretische Ungleichung und ihre Anwendung auf den Beweis der Ergodizität von Markoffschen Ketten. Publ Math Inst Hung Acad Sci Ser A 8:85–108zbMATHGoogle Scholar
  3. Esteban MD, Morales D (1995) A summary on entropy statistics. Kybernetika 31:337–346MathSciNetzbMATHGoogle Scholar
  4. Menéndez ML, Morales D, Pardo L, Salicrú M (1995a) Asymptotic behaviour and statistical applications of divergence measures in multinomial populations: a unified study. Statistical Pap 36:1–29MathSciNetCrossRefGoogle Scholar
  5. Menéndez ML, Morales D, Pardo L, Vajda I (1995b) Divergence based estimation and testing of statistical models of classification. J Multivar Anal 54:329–354MathSciNetCrossRefGoogle Scholar
  6. Morales D, Pardo L, Vajda I (2000) Rényi statistics in directed families of exponential experiments. Statistics 34:151–174MathSciNetCrossRefGoogle Scholar
  7. Pfeffermann D, Sikov A, Tiller RL (2014) Single- and two-stage cross-sectional and time series benchmarking procedures for small area estimation. Test 23:631–666MathSciNetCrossRefGoogle Scholar
  8. Pardo L (2006) Statistical inference based on divergence measures. Chapman & Hall, Boca RatonzbMATHGoogle Scholar
  9. Read TRC, Cressie NAC (1998) Goodness-of-fit statistics for discrete multivariate data. Springer, New YorkzbMATHGoogle Scholar
  10. Ugarte MD, Militino AF, Goicoa T (2009) Benchmarked estimates in small areas using linear mixed models with restrictions. Test 18:342–364MathSciNetCrossRefGoogle Scholar

Copyright information

© Sociedad de Estadística e Investigación Operativa 2019

Authors and Affiliations

  1. 1.Centro de Investigación OperativaUniversidad Miguel Hernández de ElcheElcheSpain

Personalised recommendations