On the convergence of the Horvitz-Thompson estimator
Robinson, P.
(1982).
On the convergence of the Horvitz-Thompson estimator.
Australian Journal of Statistics,
24(2), 234-238.
https://doi.org/10.1111/j.1467-842X.1982.tb00829.x
We investigate the degree to which the Horvitz-Thompson estimator approximates the population mean in survey sampling. Specifically, conditions for (mean square) consistency are given, along with rates of convergence. The conditions involve only first and second-order inclusion probabilities, and for various sampling designs they are easy to check.
| Item Type | Article |
|---|---|
| Copyright holders | © 1982 Statistical Society of Australia, Statistical Society of Australia |
| Departments | LSE > Academic Departments > Economics |
| DOI | 10.1111/j.1467-842X.1982.tb00829.x |
| Date Deposited | 27 Apr 2007 |
| URI | https://researchonline.lse.ac.uk/id/eprint/1418 |
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