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Hansen-Hurwitz Estimator

Ecological Statistics

  1. Mary C. Christman

Published Online: 15 JAN 2013

DOI: 10.1002/9780470057339.vah003.pub2

Encyclopedia of Environmetrics

Encyclopedia of Environmetrics

How to Cite

Christman, M. C. 2013. Hansen-Hurwitz Estimator . Encyclopedia of Environmetrics. 3.

Author Information

  1. University of Florida, Gainesville, FL, USA

Publication History

  1. Published Online: 15 JAN 2013


The Hansen–Hurwitz estimator is a design-based procedure for estimating population totals or means when sampling is with replacement. Its strength lies in its approach incorporating unequal sampling probabilities to provide an estimator that is more precise than many alternative estimators. It is commonly used for cluster sampling, stratified probability sampling, and adaptive sampling designs. A very common use of the estimator is for cluster sampling designs in which clusters are selected proportional to size.


  • cluster sampling;
  • sampling with replacement;
  • estimation;
  • probability proportional to size;
  • probability sampling