Abstract
Surveys are probably the most noticeable aspect of statistics. They are perhaps universally criticized, and yet they continue to be widely used. If they are realized and interpreted in an appropriate way, they are a valuable technique for gaining information about a phenomenon. In this chapter we outline the main approaches to sampling and the statistical models for spatial data that will be used in the rest of the book.
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Notes
- 1.
Note that here the term domain has a different meaning than that used in survey sampling literature (in particular, for domain estimation see Chap. 11). In this case, it simple denotes the set of all possible input values for which the function is defined.
- 2.
Note that y is expressed in lowercase though it is a component of a random process.
- 3.
Isotropy can be also defined as uniformity in all spatial directions; the pattern depends on the spatial locations only through the Euclidean distance between the points.
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Benedetti, R., Piersimoni, F., Postiglione, P. (2015). Essential Statistical Concepts, Definitions, and Terminology. In: Sampling Spatial Units for Agricultural Surveys. Advances in Spatial Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46008-5_1
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