NDLI: Empirical likelihood confidence intervals for adaptive cluster sampling

Content Provider	Springer Nature Link
Author	Salehi, Mohammad Mohammadi, Mohammad Rao, J. N. K. Berger, Yves G.
Copyright Year	2008
Abstract	Adaptive cluster sampling (ACS) is an efficient sampling design for estimating parameters of rare and clustered populations. It is widely used in ecological research. The modified Hansen-Hurwitz (HH) and Horvitz-Thompson (HT) estimators based on small samples under ACS have often highly skewed distributions. In such situations, confidence intervals based on traditional normal approximation can lead to unsatisfactory results, with poor coverage properties. Christman and Pontius (Biometrics 56:503–510, 2000) showed that bootstrap percentile methods are appropriate for constructing confidence intervals from the HH estimator. But Perez and Pontius (J Stat Comput Simul 76:755–764, 2006) showed that bootstrap confidence intervals from the HT estimator are even worse than the normal approximation confidence intervals. In this article, we consider two pseudo empirical likelihood functions under the ACS design. One leads to the HH estimator and the other leads to a HT type estimator known as the Hájek estimator. Based on these two empirical likelihood functions, we derive confidence intervals for the population mean. Using a simulation study, we show that the confidence intervals obtained from the first EL function perform as good as the bootstrap confidence intervals from the HH estimator but the confidence intervals obtained from the second EL function perform much better than the bootstrap confidence intervals from the HT estimator, in terms of coverage rate.
Starting Page	111
Ending Page	123
Page Count	13
File Format	PDF
ISSN	13528505
Journal	Environmental and Ecological Statistics
Volume Number	17
Issue Number	1
e-ISSN	15733009
Language	English
Publisher	Springer US
Publisher Date	2008-10-21
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Finite population Hansen-Hurwitz estimator Horvitz-Thompson estimator Empirical likelihood ratio Evolutionary Biology Statistics Mathematical Biology in General Ecology
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Environmental Science Statistics, Probability and Uncertainty

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