ISSN:
1573-3009
Keywords:
adaptive sampling
;
clustered population
;
Rao-Blackwell theorem.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Energy, Environment Protection, Nuclear Power Engineering
Notes:
Abstract Thompson (1990) introduced the adaptive cluster sampling design and developed two unbiased estimators, the modified Horvitz-Thompson (HT) and Hansen-Hurwitz (HH) estimators, for this sampling design and noticed that these estimators are not a function of the minimal sufficient statistics. He applied the Rao-Blackwell theorem to improve them. Despite having smaller variances, these latter estimators have not received attention because a suitable method or algorithm for computing them was not available. In this paper we obtain closed forms of the Rao-Blackwell versions which can easily be computed. We also show that the variance reduction for the HH estimator is greater than that for the HT estimator using Rao-Blackwell versions. When the condition for extra samples is $$y 〉 0$$ , one can expect some Rao-Blackwell improvement in the HH estimator but not in the HT estimator. Two examples are given.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1009670205509
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