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Adaptive Sampling Designs

Part of the SpringerBriefs in Statistics Book Series

DOI: 10.1007/978-3-642-33657-7

ISBN: 978-3-642-33656-0

Publisher: Springer Berlin Heidelberg - Springer Journals

Oct 23, 2012

Available

Basic Ideas

Seber, George A. F.; Salehi, Mohammad M.

Pages: 1 –10

[In this chapter we consider the problem of estimating such quantities as the number of objects, the total biomass, or total ground cover in a finite population from a sample. Various traditional methods of sampling such as sampling with or without replacement, inverse sampling, and unequal...
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Adaptive Cluster Sampling

Seber, George A. F.; Salehi, Mohammad M.

Pages: 11 –26

[One of the main methods of adaptive sampling is adaptive cluster sampling. As it involves unequal probability of sampling, standard Horvitz-Thompson and Hansen-Hurwitz estimators can be modified to provide unbiased estimates of finite population parameters along with unbiased variance...
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Rao-Blackwell Modifications

Seber, George A. F.; Salehi, Mohammad M.

Pages: 27 –36

[This chapter summarizes some foundational theory for adaptive sampling methods. The Rao-Blackwell theorem can be applied to unbiased estimators to provide more efficient estimators. Closed form expressions for these and related estimators are discussed. The theory is also applied to selecting...
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Primary and Secondary Units

Seber, George A. F.; Salehi, Mohammad M.

Pages: 37 –47

[In adaptive sampling, the sampling units can sometimes be divided into primary and secondary units. After a sample of primary units is taken, adaptive cluster sampling can be carried out within each primary unit selected using either a sample or all of its secondary units. Primary units can be a...
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Inverse Sampling Methods

Seber, George A. F.; Salehi, Mohammad M.

Pages: 49 –60

[Inverse sampling is an adaptive method whereby it is the sample size that is adaptive. On the basis of a new proof, Murthy’s estimator can now be applied with or without adaptive cluster sampling to inverse sampling to provide unbiased estimators of the mean and variance of the mean estimator. A...
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Adaptive Allocation

Seber, George A. F.; Salehi, Mohammad M.

Pages: 61 –70

[Adaptive allocation is a form of sampling whereby information from an initial phase of sampling is use to allocate the effort for further sampling, usually referred to as the the second phase. The material in this chapter is an extension of the material of the previous chapter with its emphasis...

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