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Biometrika 2006 93(2):269-278; doi:10.1093/biomet/93.2.269
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© 2006 Biometrika Trust

Applying the Horvitz-Thompson criterion in complex designs: A computer-intensive perspective for estimating inclusion probabilities

Lorenzo Fattorini

Dipartimento di Metodi Quantitativi, Università di Siena, P.za S. Francesco 8, 53100 Siena, Italy. fattorini{at}unisi.it

A modification of the Horvitz-Thompson estimator is proposed for complex sampling designs. The inclusion probabilities are estimated by means of independent replications of the sampling scheme. The properties of the resulting estimator are derived. Guidelines for choosing the appropriate number of replications are given and some applications are considered.

Key Words: Independent replications; Monte Carlo methods; Sequential sampling scheme; Spatial and environmental sampling.

Received February 2004. Revised November 2005.


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