Systematic Sampling of Two-Dimensional Surfaces and Related Problems.

摘要

The sampling theory for twenty-one methods of sampling points on a two-dimensional surface, for the purpose of estimating an area of interest, is given in this report. Eleven of those methods involve systematic sampling. Firm results on relative efficiency are available for eight out of the eleven methods of non-systematic sampling. The basic assumption in the sampling theory is that the area of interest is fixed; the basic stochastic element is the sample of points realized through the randomization procedure specific to each method of sampling. The theory is extended to two-stage sampling through an example for aligned systematic sampling. A result on sampling 'lines' with probability proportional to size is given; this relates to the magnitude of the relative variance.