Abstract
The asymptotic properties of the Horvitz-Thompson estimator in an unequal probability sampling situation are examined. A design free estimate is also studied. It is shown that the later estimator makes more sense than the Horvitz-Thompson estimator in the conditional frequentist framework.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Basu, D. (1988). Statistical Information and Likelihood, A Collection of Critical Essays by Dr. D. Basu, edited by J. K. Ghosh, Lecture Notes in Statistics, 45, Springer-Verlag, New York.
Cochran, William G. (1977) Sampling Techniques, 3rd. ed., Wiley, New York.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer-Verlag New York, Inc.
About this paper
Cite this paper
Ghosh, J.K. (1992). The Horvitz-Thompson Estimate and Basu’s Circus Revisited. In: Goel, P.K., Iyengar, N.S. (eds) Bayesian Analysis in Statistics and Econometrics. Lecture Notes in Statistics, vol 75. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2944-5_14
Download citation
DOI: https://doi.org/10.1007/978-1-4612-2944-5_14
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-97863-5
Online ISBN: 978-1-4612-2944-5
eBook Packages: Springer Book Archive