Environmental and Ecological Statistics

, Volume 10, Issue 1, pp 115–127

Comparison between Hansen-Hurwitz and Horvitz-Thompson estimators for adaptive cluster sampling

  • Mohammad M. Salehi

DOI: 10.1023/A:1021989509323

Cite this article as:
Salehi, M.M. Environmental and Ecological Statistics (2003) 10: 115. doi:10.1023/A:1021989509323


Thompson (1990) introduced the adaptive cluster sampling design. This sampling design has been shown to be a useful sampling method for parameter estimation of a clustered and scattered population (Roesch, 1993; Smith et al., 1995; Thompson and Seber, 1996). Two estimators, the modified Hansen-Hurwitz (HH) and Horvitz-Thompson (HT) estimators, are available to estimate the mean or total of a population. Empirical results from previous researches indicate that the modified HT estimator has smaller variance than the modified HH estimator. We analytically compare the properties of these two estimators. Some results are obtained in favor of the modified HT estimator so that practitioners are strongly recommended to use the HT estimator despite easiness of computations for the HH estimator.

adaptive samplingnetwork samplingRao-Blackwell theorem

Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Mohammad M. Salehi
    • 1
  1. 1.School of Mathematical SciencesIsfahan University of TechnologyIsfahanIran