Adaptive sampling is particularly useful for sampling populations that are sparse but clustered. For example, fish can form large, widely scattered schools with few fish in between. Applying standard sampling methods such as simple random sampling (SRS, see Simple Random Sample) to get a sample of plots from such a population could yield little information, with most of the plots being empty. The idea can be simply described follows. We go fishing in a lake using a boat and, assuming complete ignorance about the population, we select a location at random and fish. If we don’t catch anything we select another location at random and try again. If we do catch something we fish in a specific neighborhood of that location and keep expanding the neighborhood until we catch no more fish. We then move on to a second location. This process continues until we have, for example, fished at a fixed number of locations or until our total catch has exceeded a certain number of fish. This kind of...
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References and Further Reading
Salehi MM (1999) Rao-Blackwell versions of the Horvitz-Thompson and Hansen-Hurwitz in adaptive cluster sampling. J Environ Ecol Stat 6:183–195
Salehi MM, Seber GAF (1997) Two stage adaptive cluster sampling. Biometrics 53:959–970
Salehi MM, Mohammadi M, Rao JNK, Berger YG (2010a) Empirical Likelihood confidence intervals for adaptive cluster sampling. J Environ Ecol Stat 17:111–123
Salehi MM, Moradi M, Brown JA, Smith DR (2010b) Efficient estimators for adaptive two-stage sequential sampling. J Stat Comput Sim, DOI: 10.1080/00949650903005664
Seber GAF, Salehi MM (2004) Adaptive sampling. In: Armitage P, Colton T (eds) Encyclopedia of biostatistics, vol 1, 2nd edn. Wiley, New York
Thompson SK, Seber GAF (1996) Adaptive sampling. Wiley, New York
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Seber, G.A.F., Salehi M., M. (2011). Adaptive Sampling. In: Lovric, M. (eds) International Encyclopedia of Statistical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04898-2_107
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