Mathematically, a sampling design is denoted by the function which gives the probability of drawing a sample
An example of a sampling design 
During Bernoulli sampling, is given by
where for each element is the probability of being included in the sample and is the total number of elements in the sample and is the total number of elements in the population (before sampling commenced).
See also 
Further reading 
- Sarndal, Swenson, and Wretman (1992), Model Assisted Survey Sampling, Springer-Verlag, ISBN 0-387-40620-4
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